When combat ends at one battlefield, do units at other battlefields (and at base) heal from damage, including units damaged by spells like Falling Star?

Ruling: Yes, all units everywhere heal when any combat ends, including units at other battlefields and at base.

Sequence:

• Combat cleanup occurs as the first step of the Resolution Step after combat
• During combat cleanup, a Special Cleanup is invoked
• All marked damage is cleared from all units (everywhere)

Nuances:

• This healing applies even to units damaged by spells like Falling Star or Icathian Rain that are not participating in the combat that just ended