diff --git a/tests/test_solver/test_supervised_solver.py b/tests/test_solver/test_supervised_solver.py
index 63f6b307e..30ae08064 100644
--- a/tests/test_solver/test_supervised_solver.py
+++ b/tests/test_solver/test_supervised_solver.py
@@ -1,12 +1,14 @@
 import torch
 import pytest
+from torch._dynamo.eval_frame import OptimizedModule
+from torch_geometric.nn import GCNConv
 from pina import Condition, LabelTensor
 from pina.condition import InputTargetCondition
 from pina.problem import AbstractProblem
 from pina.solver import SupervisedSolver
 from pina.model import FeedForward
 from pina.trainer import Trainer
-from torch._dynamo.eval_frame import OptimizedModule
+from pina.graph import KNNGraph
 
 
 class LabelTensorProblem(AbstractProblem):
@@ -28,9 +30,64 @@ class TensorProblem(AbstractProblem):
     }
 
 
+x = torch.rand((100, 20, 5))
+pos = torch.rand((100, 20, 2))
+output_ = torch.rand((100, 20, 1))
+input_ = [
+    KNNGraph(x=x_, pos=pos_, neighbours=3, edge_attr=True)
+    for x_, pos_ in zip(x, pos)
+]
+
+
+class GraphProblem(AbstractProblem):
+    output_variables = None
+    conditions = {"data": Condition(input=input_, target=output_)}
+
+
+x = LabelTensor(torch.rand((100, 20, 5)), ["a", "b", "c", "d", "e"])
+pos = LabelTensor(torch.rand((100, 20, 2)), ["x", "y"])
+output_ = LabelTensor(torch.rand((100, 20, 1)), ["u"])
+input_ = [
+    KNNGraph(x=x[i], pos=pos[i], neighbours=3, edge_attr=True)
+    for i in range(len(x))
+]
+
+
+class GraphProblemLT(AbstractProblem):
+    output_variables = ["u"]
+    input_variables = ["a", "b", "c", "d", "e"]
+    conditions = {"data": Condition(input=input_, target=output_)}
+
+
 model = FeedForward(2, 1)
 
 
+class Model(torch.nn.Module):
+
+    def __init__(self, *args, **kwargs):
+        super().__init__(*args, **kwargs)
+        self.lift = torch.nn.Linear(5, 10)
+        self.activation = torch.nn.Tanh()
+        self.output = torch.nn.Linear(10, 1)
+
+        self.conv = GCNConv(10, 10)
+
+    def forward(self, batch):
+
+        x = batch.x
+        edge_index = batch.edge_index
+        for _ in range(1):
+            y = self.lift(x)
+            y = self.activation(y)
+            y = self.conv(y, edge_index)
+            y = self.activation(y)
+            y = self.output(y)
+        return y
+
+
+graph_model = Model()
+
+
 def test_constructor():
     SupervisedSolver(problem=TensorProblem(), model=model)
     SupervisedSolver(problem=LabelTensorProblem(), model=model)
@@ -59,6 +116,24 @@ def test_solver_train(use_lt, batch_size, compile):
         assert isinstance(solver.model, OptimizedModule)
 
 
+@pytest.mark.parametrize("batch_size", [None, 1, 5, 20])
+@pytest.mark.parametrize("use_lt", [True, False])
+def test_solver_train_graph(batch_size, use_lt):
+    problem = GraphProblemLT() if use_lt else GraphProblem()
+    solver = SupervisedSolver(problem=problem, model=graph_model, use_lt=use_lt)
+    trainer = Trainer(
+        solver=solver,
+        max_epochs=2,
+        accelerator="cpu",
+        batch_size=batch_size,
+        train_size=1.0,
+        test_size=0.0,
+        val_size=0.0,
+    )
+
+    trainer.train()
+
+
 @pytest.mark.parametrize("use_lt", [True, False])
 @pytest.mark.parametrize("compile", [True, False])
 def test_solver_validation(use_lt, compile):
@@ -79,6 +154,24 @@ def test_solver_validation(use_lt, compile):
         assert isinstance(solver.model, OptimizedModule)
 
 
+@pytest.mark.parametrize("batch_size", [None, 1, 5, 20])
+@pytest.mark.parametrize("use_lt", [True, False])
+def test_solver_validation_graph(batch_size, use_lt):
+    problem = GraphProblemLT() if use_lt else GraphProblem()
+    solver = SupervisedSolver(problem=problem, model=graph_model, use_lt=use_lt)
+    trainer = Trainer(
+        solver=solver,
+        max_epochs=2,
+        accelerator="cpu",
+        batch_size=batch_size,
+        train_size=0.9,
+        val_size=0.1,
+        test_size=0.0,
+    )
+
+    trainer.train()
+
+
 @pytest.mark.parametrize("use_lt", [True, False])
 @pytest.mark.parametrize("compile", [True, False])
 def test_solver_test(use_lt, compile):
@@ -99,6 +192,24 @@ def test_solver_test(use_lt, compile):
         assert isinstance(solver.model, OptimizedModule)
 
 
+@pytest.mark.parametrize("batch_size", [None, 1, 5, 20])
+@pytest.mark.parametrize("use_lt", [True, False])
+def test_solver_test_graph(batch_size, use_lt):
+    problem = GraphProblemLT() if use_lt else GraphProblem()
+    solver = SupervisedSolver(problem=problem, model=graph_model, use_lt=use_lt)
+    trainer = Trainer(
+        solver=solver,
+        max_epochs=2,
+        accelerator="cpu",
+        batch_size=batch_size,
+        train_size=0.8,
+        val_size=0.1,
+        test_size=0.1,
+    )
+
+    trainer.test()
+
+
 def test_train_load_restore():
     dir = "tests/test_solver/tmp/"
     problem = LabelTensorProblem()