A wireless Logitech mouse compatible with the Logitech Unifying Receiver can connect to any Unifying Receiver. You'll need Logitech's Unifying software to pair or un-pair a compatible wireless mouse.

[endes0] has been hacking with USB HID recently, and a Logitech M185 mouse’s USB receiver has fallen into their hands. Unlike many Logitech mice, this one doesn’t include a Unifying receiver, though ...