I've only played once and don't own the game but I found this:
End of a Round
A round ends when, after the “Discard Cards from
Hand” step of a battle’s resolution, only one player
(or no player) has cards remaining in his hand. If
one player has cards left in his hand, he may keep up
to two of them, but must discard the rest. Then the
player controlling the Condottiere token shuffles all
the remaining cards (including all discards).
The player with the Condottiere token deals each
player, including himself, enough cards so that each
player has 10 cards in his hand. Then, the player
with the Condottiere token deals each player 1
additional card for each region the player controls.