Suarez netted the winner from close range after a left-flank cross by Jordi Alba in the 54th minute at Bilbao’s San Mames Stadium. Messi had a chance to open the scoring in the first half after a disputed foul on Suarez inside the area, but the Argentine playmaker had his low shot from the spot saved by goalkeeper Gorka Iraizoz.
A disappointing result in the opener would have raised more questions about Barcelona after an unusually difficult start to the season. The club was stunned by Bilbao last week in the Spanish Super Cup final, losing the title 5-1 on aggregate.
Bilbao presented the Super Cup trophy to the nearly 50,000 fans that packed the San Mames on Sunday, but the team could not keep its momentum going against the Spanish powerhouse.
Barcelona played just well enough to earn the victory, and had most of the significant scoring opportunities. In one of them, Sergi Roberto hit the crossbar with a right-footed shot in the 60th. Messi made one of his traditional runs past several defenders near the end of the game but his shot came out weak for an easy save by Iraizoz.
Messi’s best chance was the 32nd-minute penalty kick, when his left-footed shot was deflected wide as Iraizoz dived to his right to tip the ball away.
Bilbao players loudly complained at the penalty call as it appeared there was only light contact by defender Gorka Elustondo on Suarez. Replays also showed that the Uruguayan striker appeared to be offside at the time of the pass from the back field.
Luis Enrique’s team began its season with a depleted squad because of injuries and suspensions, and it only got worse Sunday when right back Dani Alves had to be substituted in the first half with an apparent muscle ailment. Star striker Neymar was recovering from the mumps and fellow Brazilian Adriano was injured, while Gerard Pique and Jeremy Mathieu were suspended.
Real Madrid, trying to end a three-year title drought in La Liga, opens at recently promoted Sporting Gijon later Sunday.
Atletico Madrid began with a lackluster 1-0 win over newcomer Las Palmas at its Vicente Calderon Stadium on Saturday thanks to a 16th-minute free kick goal by Antoine Griezmann, while midfielder Salva Sevilla scored early in the first half to give Espanyol a 1-0 win over 10-man Getafe.
The league struggled to produce goals on its first two days, with scoreless draws between Valencia-Rayo Vallecano, Real Sociedad-Deportivo La Coruna and Sevilla-Malaga.