Sport says Barca are set to intensify their pursuit of Cesc next week following the conclusion of the Spanish Liga season.
Barca are willing to put on the table £40 million to sign the Gunners captain. However, it will fall short of the £50 million Arsenal's board see as the jumping off point for negotiations.
Plan 'B' for Barca is to make a cash-plus-player offer for Cesc.
Barca are willing to offer £25 million plus Yaya Toure for the Gunners ace.