Messi struck a brilliant opener after just 12 minutes to put Barca on track, and then played a key role as Pedro Rodriguez made it 2-0 soon after as the Catalan giants built a 3-1 aggregate lead.
Messi, who was a constant menace, added a third on the hour mark to take his tally to eight goals in the last four games before Bojan Krkic completed the romp late on as Barca became Spain's only representative to make it into the last eight.
He was so decisive," Barcelona coach Pep Guardiola said of Messi. "Every great has a tendency to influence his team, like (Michael) Jordan with the Bulls. He's the best. We wouldn't trade him for anybody."