Can a defending player conquer a battlefield during combat on the attacking player's turn?

Ruling: Yes, a defender can conquer a battlefield if they are the only player with units remaining there and they did not control that battlefield before combat or score it earlier that turn.

Sequence:

• Combat occurs where the defender eliminates all attacking units
• Game checks: (1) Did this player control the battlefield before combat or score it this turn? (2) Is this player the only one with units remaining?
• If (1) is no and (2) is yes, the defender conquers and draws a card
• To win via conquest, the player must score all battlefields on the same turn
• If the defender has 7 points but only conquers one battlefield on the opponent's turn, they do not win immediately
• If the turn returns to that player and they still control the battlefield (with 7 points), they win

Nuances:

• Conquering a battlefield on an opponent's turn awards a card draw but does not immediately win the game unless both battlefields are scored that same turn
• You must score all battlefields on the same turn to win, not just control them