Combat damage is the damage that's dealt automatically by attacking and blocking creatures. Any other damage is noncombat damage, even if it's dealt during a combat phase by an attacking or blocking creature.

The ability of Chandra's Pyreling triggers just once per event for each opponent who is dealt noncombat damage by a source you control, regardless of how much damage that player is dealt. For example, if a sorcery you control deals 2 damage to each opponent in a four-player game, the ability will trigger three times.