diff --git a/petabtests/cases/v2.0.0/sbml/0028/0028.py b/petabtests/cases/v2.0.0/sbml/0028/0028.py
new file mode 100644
index 0000000..9de2b96
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/0028.py
@@ -0,0 +1,65 @@
+from inspect import cleandoc
+
+from petab.v2.C import *
+from petab.v2 import Problem
+from petabtests import PetabV2TestCase, analytical_a, analytical_b, DEFAULT_SBML_FILE
+
+DESCRIPTION = cleandoc("""
+## Objective
+
+This case tests applies a PEtab condition at a non-initial time point,
+where the condition is triggered at a time point that does not have any
+measurements.
+
+## Model
+
+A simple conversion reaction `A <=> B` in a single compartment, following
+mass action kinetics.
+""")
+
+# problem --------------------------------------------------------------------
+a0 = 1
+b0 = 1
+k1 = 0.8
+k2 = 0.6
+problem = Problem()
+
+problem.add_condition(
+    "condition1",
+    "condition1",
+    A="A + 5.0",
+)
+problem.add_experiment("experiment1", 0, "", 7, "condition1")
+
+
+problem.add_observable("obs_a", "A", noise_formula="0.5")
+problem.add_measurement("obs_a", experiment_id="experiment1", time=0, measurement=0.7)
+problem.add_measurement("obs_a", experiment_id="experiment1", time=10, measurement=0.1)
+
+problem.add_parameter("k1", lb=0, ub=10, nominal_value=k1, estimate=True)
+problem.add_parameter("k2", lb=0, ub=10, nominal_value=k2, estimate=True)
+
+
+# solutions ------------------------------------------------------------------
+
+simulation_df = problem.measurement_df.copy(deep=True).rename(
+    columns={MEASUREMENT: SIMULATION}
+)
+# in the model, concentrations are used, which do not depend on the
+#  compartment size, so that the species values should stay the same
+a7 = analytical_a(7.0, a0=a0, b0=b0, k1=k1, k2=k2)
+b7 = analytical_b(7.0, a0=a0, b0=b0, k1=k1, k2=k2)
+simulation_df[SIMULATION] = [
+    a0,
+    analytical_a(3.0, a0=(a7 + 5.0), b0=b7, k1=k1, k2=k2)
+]
+
+case = PetabV2TestCase.from_problem(
+    id=28,
+    brief="Simulation. None t0 condition applied at time-point "
+    "without measurements.",
+    description=DESCRIPTION,
+    model=DEFAULT_SBML_FILE,
+    problem=problem,
+    simulation_df=simulation_df,
+)
diff --git a/petabtests/cases/v2.0.0/sbml/0028/README.md b/petabtests/cases/v2.0.0/sbml/0028/README.md
new file mode 100644
index 0000000..1f39815
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/README.md
@@ -0,0 +1,12 @@
+# PEtab test case 0028
+
+## Objective
+
+This case tests applies a PEtab condition at a non-initial time point,
+where the condition is triggered at a time point that does not have any
+measurements.
+
+## Model
+
+A simple conversion reaction `A <=> B` in a single compartment, following
+mass action kinetics.
diff --git a/petabtests/cases/v2.0.0/sbml/0028/_0028.yaml b/petabtests/cases/v2.0.0/sbml/0028/_0028.yaml
new file mode 100644
index 0000000..f698cb3
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/_0028.yaml
@@ -0,0 +1,17 @@
+condition_files:
+- _conditions.tsv
+experiment_files:
+- _experiments.tsv
+format_version: 2.0.0
+mapping_files:
+- _mapping.tsv
+measurement_files:
+- _measurements.tsv
+model_files:
+  model_0:
+    language: sbml
+    location: _model.xml
+observable_files:
+- _observables.tsv
+parameter_files:
+- _parameters.tsv
diff --git a/petabtests/cases/v2.0.0/sbml/0028/_0028_solution.yaml b/petabtests/cases/v2.0.0/sbml/0028/_0028_solution.yaml
new file mode 100644
index 0000000..2c02c72
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/_0028_solution.yaml
@@ -0,0 +1,7 @@
+chi2: 35.00133792381521
+llh: -17.95225166719706
+simulation_files:
+- _simulations.tsv
+tol_chi2: 0.001
+tol_llh: 0.001
+tol_simulations: 0.001
diff --git a/petabtests/cases/v2.0.0/sbml/0028/_conditions.tsv b/petabtests/cases/v2.0.0/sbml/0028/_conditions.tsv
new file mode 100644
index 0000000..61a5bb5
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/_conditions.tsv
@@ -0,0 +1,2 @@
+conditionId	targetId	targetValue
+condition1	A	A + 5.0
diff --git a/petabtests/cases/v2.0.0/sbml/0028/_experiments.tsv b/petabtests/cases/v2.0.0/sbml/0028/_experiments.tsv
new file mode 100644
index 0000000..0a16024
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/_experiments.tsv
@@ -0,0 +1,3 @@
+experimentId	time	conditionId
+experiment1	0.0	
+experiment1	7.0	condition1
diff --git a/petabtests/cases/v2.0.0/sbml/0028/_mapping.tsv b/petabtests/cases/v2.0.0/sbml/0028/_mapping.tsv
new file mode 100644
index 0000000..a826206
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/_mapping.tsv
@@ -0,0 +1,2 @@
+petabEntityId	modelEntityId	name
+condition1		condition1
diff --git a/petabtests/cases/v2.0.0/sbml/0028/_measurements.tsv b/petabtests/cases/v2.0.0/sbml/0028/_measurements.tsv
new file mode 100644
index 0000000..d003321
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/_measurements.tsv
@@ -0,0 +1,3 @@
+modelId	observableId	experimentId	time	measurement	observableParameters	noiseParameters
+	obs_a	experiment1	0.0	0.7		
+	obs_a	experiment1	10.0	0.1		
diff --git a/petabtests/cases/v2.0.0/sbml/0028/_model.xml b/petabtests/cases/v2.0.0/sbml/0028/_model.xml
new file mode 100644
index 0000000..9a91311
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/_model.xml
@@ -0,0 +1,94 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<sbml xmlns="http://www.sbml.org/sbml/level2/version4" level="2" version="4">
+  <model id="conversion_reaction_0" name="Conversion Reaction 0">
+
+    <listOfUnitDefinitions>
+      <unitDefinition id="volume" name="volume">
+        <listOfUnits>
+          <unit kind="litre" exponent="1" scale="-3" multiplier="1"/>
+        </listOfUnits>
+      </unitDefinition>
+      <unitDefinition id="substance" name="substance">
+        <listOfUnits>
+          <unit kind="mole" exponent="1" scale="-3" multiplier="1"/>
+        </listOfUnits>
+      </unitDefinition>
+    </listOfUnitDefinitions>
+
+    <listOfCompartments>
+      <compartment id="compartment" name="compartment" spatialDimensions="3" size="1" constant="true">
+      </compartment>
+    </listOfCompartments>
+
+    <listOfSpecies>
+      <species id="A" name="A" compartment="compartment" initialConcentration="2" boundaryCondition="false" constant="false">
+      </species>
+      <species id="B" name="B" compartment="compartment" initialConcentration="2" boundaryCondition="false" constant="false">
+      </species>
+    </listOfSpecies>
+
+    <listOfParameters>
+      <parameter id="a0" name="a0" value="1" constant="true">
+      </parameter>
+      <parameter id="b0" name="b0" value="1" constant="true">
+      </parameter>
+      <parameter id="k1" name="k1" value="0" constant="true">
+      </parameter>
+      <parameter id="k2" name="k2" value="0" constant="true">
+      </parameter>
+    </listOfParameters>
+
+    <listOfInitialAssignments>
+      <initialAssignment symbol="A">
+        <math xmlns="http://www.w3.org/1998/Math/MathML">
+          <ci> a0 </ci>
+        </math>
+      </initialAssignment>
+      <initialAssignment symbol="B">
+        <math xmlns="http://www.w3.org/1998/Math/MathML">
+          <ci> b0 </ci>
+        </math>
+      </initialAssignment>
+    </listOfInitialAssignments>
+
+    <listOfReactions>
+      <reaction id="fwd" name="fwd" reversible="false">
+        <listOfReactants>
+          <speciesReference species="A" stoichiometry="1"/>
+        </listOfReactants>
+        <listOfProducts>
+          <speciesReference species="B" stoichiometry="1"/>
+        </listOfProducts>
+        <kineticLaw>
+          <math xmlns="http://www.w3.org/1998/Math/MathML">
+            <apply>
+              <times/>
+              <ci> compartment </ci>
+              <ci> k1 </ci>
+              <ci> A </ci>
+            </apply>
+          </math>
+        </kineticLaw>
+      </reaction>
+      <reaction id="rev" name="rev" reversible="false">
+        <listOfReactants>
+          <speciesReference species="B" stoichiometry="1"/>
+        </listOfReactants>
+        <listOfProducts>
+          <speciesReference species="A" stoichiometry="1"/>
+        </listOfProducts>
+        <kineticLaw>
+          <math xmlns="http://www.w3.org/1998/Math/MathML">
+            <apply>
+              <times/>
+              <ci> compartment </ci>
+              <ci> k2 </ci>
+              <ci> B </ci>
+            </apply>
+          </math>
+        </kineticLaw>
+      </reaction>
+    </listOfReactions>
+
+  </model>
+</sbml>
diff --git a/petabtests/cases/v2.0.0/sbml/0028/_observables.tsv b/petabtests/cases/v2.0.0/sbml/0028/_observables.tsv
new file mode 100644
index 0000000..251acc7
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/_observables.tsv
@@ -0,0 +1,2 @@
+observableId	observableName	observableFormula	noiseFormula	noiseDistribution	observablePlaceholders	noisePlaceholders
+obs_a		A	0.500000000000000	normal		
diff --git a/petabtests/cases/v2.0.0/sbml/0028/_parameters.tsv b/petabtests/cases/v2.0.0/sbml/0028/_parameters.tsv
new file mode 100644
index 0000000..852192d
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/_parameters.tsv
@@ -0,0 +1,3 @@
+parameterId	lowerBound	upperBound	nominalValue	estimate	priorDistribution	priorParameters
+k1	0.0	10.0	0.8	true		
+k2	0.0	10.0	0.6	true		
diff --git a/petabtests/cases/v2.0.0/sbml/0028/_simulations.tsv b/petabtests/cases/v2.0.0/sbml/0028/_simulations.tsv
new file mode 100644
index 0000000..9cfe9c4
--- /dev/null
+++ b/petabtests/cases/v2.0.0/sbml/0028/_simulations.tsv
@@ -0,0 +1,3 @@
+modelId	observableId	experimentId	time	simulation	observableParameters	noiseParameters
+	obs_a	experiment1	0.0	1.0		
+	obs_a	experiment1	10.0	3.0428446239911824		
diff --git a/petabtests/cases/v2.0.0/sbml/README.md b/petabtests/cases/v2.0.0/sbml/README.md
index 6c0ab27..35ef192 100644
--- a/petabtests/cases/v2.0.0/sbml/README.md
+++ b/petabtests/cases/v2.0.0/sbml/README.md
@@ -102,3 +102,7 @@ Simulation. Estimated initial value via math expressions in conditions table.
 
 Simulation. Condition-specific parameters defined via math expressions in the parameter table.
 
+# [0028](0028/)
+
+Simulation. None t0 condition applied at time-point without measurements.
+