diff --git a/torchvision/tv_tensors/__init__.py b/torchvision/tv_tensors/__init__.py
index fed23e73364..745340822d1 100644
--- a/torchvision/tv_tensors/__init__.py
+++ b/torchvision/tv_tensors/__init__.py
@@ -1,3 +1,5 @@
+from typing import TypeVar
+
 import torch
 
 from ._bounding_boxes import BoundingBoxes, BoundingBoxFormat, is_rotated_bounding_format
@@ -6,34 +8,30 @@
 from ._mask import Mask
 from ._torch_function_helpers import set_return_type
 from ._tv_tensor import TVTensor
+from torchvision.tv_tensors._tv_tensor import TVTensor
+
 from ._video import Video
 
 
+TVTensorType = TypeVar("TVTensorType", bound=TVTensor)
+
+
 # TODO: Fix this. We skip this method as it leads to
 # RecursionError: maximum recursion depth exceeded while calling a Python object
 # Until `disable` is removed, there will be graph breaks after all calls to functional transforms
 @torch.compiler.disable
-def wrap(wrappee, *, like, **kwargs):
+def wrap(wrappee: torch.Tensor, *, like: TVTensorType, **kwargs) -> TVTensorType:
     """Convert a :class:`torch.Tensor` (``wrappee``) into the same :class:`~torchvision.tv_tensors.TVTensor` subclass as ``like``.
 
-    If ``like`` is a :class:`~torchvision.tv_tensors.BoundingBoxes`, the ``format`` and ``canvas_size`` of
-    ``like`` are assigned to ``wrappee``, unless they are passed as ``kwargs``.
-
     Args:
         wrappee (Tensor): The tensor to convert.
         like (:class:`~torchvision.tv_tensors.TVTensor`): The reference.
-            ``wrappee`` will be converted into the same subclass as ``like``.
-        kwargs: Can contain "format", "canvas_size" and "clamping_mode" if ``like`` is a :class:`~torchvision.tv_tensor.BoundingBoxes`.
-            Ignored otherwise.
+            ``wrappee`` will be converted into the same subclass as ``like``
+            maintaining the same metadata as ``like``.
+        kwargs: Optional overrides for metadata. For BoundingBoxes: ``format``, ``canvas_size``, ``clamping_mode``.
+            For KeyPoints: ``canvas_size``.
     """
-    if isinstance(like, BoundingBoxes):
-        return type(like)._wrap(
-            wrappee,
-            format=kwargs.get("format", like.format),
-            canvas_size=kwargs.get("canvas_size", like.canvas_size),
-            clamping_mode=kwargs.get("clamping_mode", like.clamping_mode),
-        )
-    elif isinstance(like, KeyPoints):
-        return type(like)._wrap(wrappee, canvas_size=kwargs.get("canvas_size", like.canvas_size))
-    else:
-        return wrappee.as_subclass(type(like))
+    if not hasattr(like, "__wrap__"):
+        raise TypeError(f"Expected `like` to have a `__wrap__` method, but got {type(like)}")
+
+    return like.__wrap__(wrappee, **kwargs)
diff --git a/torchvision/tv_tensors/_bounding_boxes.py b/torchvision/tv_tensors/_bounding_boxes.py
index 7aa3e50458d..2f67632f52d 100644
--- a/torchvision/tv_tensors/_bounding_boxes.py
+++ b/torchvision/tv_tensors/_bounding_boxes.py
@@ -116,6 +116,23 @@ def _wrap(cls, tensor: torch.Tensor, *, format: BoundingBoxFormat | str, canvas_
         bounding_boxes.clamping_mode = clamping_mode
         return bounding_boxes
 
+    def __wrap__(
+        self,
+        tensor: torch.Tensor,
+        *,
+        format: BoundingBoxFormat | str | None = None,
+        canvas_size: tuple[int, int] | None = None,
+        clamping_mode: CLAMPING_MODE_TYPE = None,
+        check_dims: bool | None = None,
+    ) -> BoundingBoxes:
+        return BoundingBoxes._wrap(
+            tensor,
+            format=format if format is not None else self.format,
+            canvas_size=canvas_size if canvas_size is not None else self.canvas_size,
+            clamping_mode=clamping_mode if clamping_mode is not None else self.clamping_mode,
+            check_dims=False,
+        )
+
     def __new__(
         cls,
         data: Any,
@@ -153,17 +170,9 @@ def _wrap_output(
         )
 
         if isinstance(output, torch.Tensor) and not isinstance(output, BoundingBoxes):
-            output = BoundingBoxes._wrap(
-                output, format=format, canvas_size=canvas_size, clamping_mode=clamping_mode, check_dims=False
-            )
+            output = first_bbox_from_args.__wrap__(output)
         elif isinstance(output, (tuple, list)):
-            # This branch exists for chunk() and unbind()
-            output = type(output)(
-                BoundingBoxes._wrap(
-                    part, format=format, canvas_size=canvas_size, clamping_mode=clamping_mode, check_dims=False
-                )
-                for part in output
-            )
+            output = type(output)(first_bbox_from_args.__wrap__(part) for part in output)
         return output
 
     def __repr__(self, *, tensor_contents: Any = None) -> str:  # type: ignore[override]
diff --git a/torchvision/tv_tensors/_keypoints.py b/torchvision/tv_tensors/_keypoints.py
index aede31ad7db..46aa6473ef2 100644
--- a/torchvision/tv_tensors/_keypoints.py
+++ b/torchvision/tv_tensors/_keypoints.py
@@ -67,6 +67,13 @@ def _wrap(cls, tensor: torch.Tensor, *, canvas_size: tuple[int, int], check_dims
         points.canvas_size = canvas_size
         return points
 
+    def __wrap__(self, tensor: torch.Tensor, *, canvas_size: tuple[int, int] | None = None) -> KeyPoints:
+        return KeyPoints._wrap(
+            tensor,
+            canvas_size=canvas_size if canvas_size is not None else self.canvas_size,
+            check_dims=False,
+        )
+
     def __new__(
         cls,
         data: Any,
@@ -89,13 +96,11 @@ def _wrap_output(
         # Similar to BoundingBoxes._wrap_output(), see comment there.
         flat_params, _ = tree_flatten(args + (tuple(kwargs.values()) if kwargs else ()))  # type: ignore[operator]
         first_keypoints_from_args = next(x for x in flat_params if isinstance(x, KeyPoints))
-        canvas_size = first_keypoints_from_args.canvas_size
 
         if isinstance(output, torch.Tensor) and not isinstance(output, KeyPoints):
-            output = KeyPoints._wrap(output, canvas_size=canvas_size, check_dims=False)
+            output = first_keypoints_from_args.__wrap__(output)
         elif isinstance(output, (tuple, list)):
-            # This branch exists for chunk() and unbind()
-            output = type(output)(KeyPoints._wrap(part, canvas_size=canvas_size, check_dims=False) for part in output)
+            output = type(output)(first_keypoints_from_args.__wrap__(part) for part in output)
         return output
 
     def __repr__(self, *, tensor_contents: Any = None) -> str:  # type: ignore[override]
diff --git a/torchvision/tv_tensors/_tv_tensor.py b/torchvision/tv_tensors/_tv_tensor.py
index 9f07fc8f226..e8805b64339 100644
--- a/torchvision/tv_tensors/_tv_tensor.py
+++ b/torchvision/tv_tensors/_tv_tensor.py
@@ -9,6 +9,7 @@
 from torch.types import _device, _dtype, _size
 
 from torchvision.tv_tensors._torch_function_helpers import _FORCE_TORCHFUNCTION_SUBCLASS, _must_return_subclass
+from typing_extensions import Self
 
 
 D = TypeVar("D", bound="TVTensor")
@@ -49,6 +50,9 @@ def _wrap_output(
             output = type(output)(cls._wrap_output(part, args, kwargs) for part in output)
         return output
 
+    def __wrap__(self, tensor: torch.Tensor) -> Self:
+        return tensor.as_subclass(type(self))
+
     @classmethod
     def __torch_function__(
         cls,