Along the United States with Canada there was an interesting incident in the 80s(?). In hot pursuit of a fleeing felon a Sheriffs deputy crossed into Canada and drove about 500 yards (no border crossing or anything). Stopping the fleeing bad guy figured he was home free (so to speak) the RCMP showed up. The RCMP turned the felon loose and stripped the Deputy of all his weapons, locked him up, and for several hours were none to nice. Not, but a few months later the exact opposite happened. The RCMP crossed into the United States and the bad guy (thinking "hey I'm out of your country neener neener") stopped a few hundred yards into the USA. The Sheriffs deputies who showed up helped the RCMP out, handed the bad guy over, and escorted them to the border.

Now the veracity of the above I can't be sure of because I remember it from my classes which are so many decades ago. The example stuck with me because the doctrine, treaties, and extraditions for hot pursuit involved are not fair, they are not equal, and effect each side differently.