Can you conquer a battlefield on your opponent's turn, and does conquering only occur during combat or also when units move to empty battlefields?

Ruling: Conquering can occur on any turn, not just your own, and happens both as a result of combat resolution and when your units move to an empty battlefield.

Sequence:

• Conquering is defined as gaining control of a battlefield you did not yet score this turn
• This can trigger from combat resolution
• This can also trigger when your units go to an empty battlefield

Nuances:

• Effects like purple MF and phoenix can enable conquering on your opponent's turn
• The conquer trigger and its consequences apply regardless of whose turn it is