Dynamically switching between pointer modes

Techniques process, in a user device, pointer input from an input device. Such techniques involve providing the input from the input device to a remote desktop session which is hosted on equipment that is remote from the user device. Such techniques further involve detecting an event on the user device, the event being indicative of deactivation of the remote desktop session. Such techniques further involve, in response to detecting the event, providing the input from the input device to at least one local application executable on the user device to enable continued processing of the input from the input device with use of the at least one local application instead of the remote desktop session.