Having made an impressive start to his tenure with a dominant 1-0 win over Granada in which Barca had 82 per cent of possession, Quique Setien rested Lionel Messi, Sergio Busquets and Gerard Pique for the trip to the Balearic island.
LaLiga's pacesetters enjoyed similar superiority in terms of time on the ball, but appeared on course for an incredible upset defeat to the Segunda B club, who took the lead through a goal credited to Josep Caballe inside 10 minutes.
Ibiza had chances to extend their advantage, but the hosts eventually ran out of steam and Griezmann levelled in the 72nd minute, before securing Barca's progression to the last 16 in the fourth minute of stoppage time.
GRIEZMANN SAVES BARCELONA IN STOPPAGE TIME! pic.twitter.com/iUVsDPjGtj— ESPN FC (@ESPNFC) January 22, 2020