Deportivo deservedly pulled one back through Lucas Perez five minutes before half-time and Turkish midfielder Emre Colak equalised in the 68th minute. Dembele drove forward before playing in Luis Suarez, who clipped a cross with the outside of his foot that Messi met with a side-foot volley.
Barcelona's biggest setback this season came in the Champions League, when it was eliminated by Roma in the quarterfinals after squandering a three-goal advantage from the first leg.
Barca doubled their lead in style in the 38th minute when Suarez lofted an exquisite outside-of-the-boot pass in the path of the onrushing Messi to side-foot home on the volley.
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Romain Grosjean crashed under the safety auto on lap 42, sliding into the wall while weaving in an attempt to heat up his tires. At the time he was closing the gap to Vettel in the lead, but the mistake forced an earlier-than-planned pit stop on lap 23.
They've been part of the debate with Manchester City about the greatest Premier League season of all time, and they've also been a point of reminiscence as Arsene Wenger's best managerial season, after he announced his retirement two weeks ago.
"We were very superior to the other rivals", Messi told Movistar.
Lionel Messi is responsible for slew of superb statistics and he added a few more to his collection last night - one being that he has now been involved in 36% of Barcelona's La Liga title wins. "Roma was a hard moment, but it should not erase what we have achieved in the last week".
"We have been a competitive, compact team and we have overcome many difficulties, and in moments I know it has lacked brilliance".
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The protest is scheduled to end on May 15, which Palestinians call Nakba (catastrophe). Marchers are demanding the right to return to their homes seized by Israel in 1948.
It is a staggering turnaround from the start of the season when Camp Nou was filled with despair, dissent and a campaign to oust club president Josep Maria Bartomeu, who on Sunday boasted of "the seventh [Primera] Liga title in 10 years". Valverde deserves this more than anyone.
"This feels good. The championship is a competition that lasts all year, it is about consistency and the team deserved this title", said Iniesta.
Valverde's debut season as manager sees him complete just the club's eight-ever double, having guided Barcelona to a Copa del Rey triumph as well when they emphatically defeated Sevilla in a 5-0 win last weekend.
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Bergeron made it 2-0 when he scored 42 seconds into the second period, but Girardi's goal at 2:31 gave Tampa Bay life. Boston , which faces the Tampa Bay Lightning in round two, also projects to be near the top of the list once again.