Without Lionel Messi, Luis Suarez and other regular starters in the line-up, Barça struggled to adapt to the pace set by the hosts from the start of the contest at Ciutat de Valencia Stadium here on Thursday, reports Efe.
Levante scored off their first opportunity.
While the visitors improved after going down 2-0, Levante were stalwart in defence and keeper Aitor Fernandez enjoyed a quiet first half.
The area in front of the Levante net remained a fortress well into the second half and the hosts had chances on the counter to extend their advantage although they seemed reluctant to take any unnecessary risks against talent-laden Barcelona.
Barcelona came to dominate possession in the final phase of the contest and a foray by Denis Suarez drew a foul in the 84th minute.
The referee pointed to the spot and Philippe Coutinho converted to cut the deficit to 2-1 but Levante hung on to seal the victory.
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