I've played Arkham a lot but re-reading the rules has raised a question about encounters and combat.

The rules make it sound like combat happens in the movement phase. If this is the case, if you fight a monster and beat it, do you then get an encounter in your location during the encounters phase? If so, is it the same if you evade the monster, i.e. if you evade a monster in the movement phase do you get an encounter during the encounters phase?

We've always played it that if you fight monsters your turn is over so the fight counts as your encounter but re-reading the rules now makes it sound like that may not be the case.

Thanks.

I play it as yes, you get the encounter afterwards. After you kill the monsters outside, you still go in and have a whiskey or something. Even if you evade, they're still outside the place and you run inside.

As you said, combat of this nature is done on the Movement phase. After all that is resolved, the next phase is Arkham Encounters, so you will get an encounter, even if you fought a monster or are delayed for some reason. Likewise, if you're delayed in an Other World, you still get an encounter in Phase 4 (Arkham Encounters), even if during Phase 3, a gate opened on you and you were drawn in. In such a scenario, you can expect to have one more Other World encounter than normal before returning to be able to close the gate.