Rune broke for 4-3 to seize the set 6-4, with Halys saving a break point in a 6 minute hold for 2-1 but unable to resist the decisive break.
Halys and Rune held serve throughout before Halys won the tiebreak 7-6, a 7 minute game that decided a set of unbroken serves.
Rune won the tiebreak 7-6 after both players saved break points in deuce holds, Halys saving two for 2-2 and Rune saving one each for 1-0, 4-3, and 6-5.