Barca haven't dropped their pursuit of Inter Milan star Lautaro, having already struck personal terms with the Argentina international's agents.
Sport says Barca also want Garcia as a matter of priority and are pushing to sell a raft of fringe players to fund cash offers for both players.
The aim is to sell as soon as possible Philippe Coutinho, Jean-Clair Todibo, Martin Braithwaite, Ivan Rakitic and Samuel Umtiti before going to City and Inter with revised offers for Garcia and Lautaro respectively.
Barca are confident of landing Garcia for €12m, while they will need to find €70m cash - plus include Junior Firpo - to convince Inter to sell Lautaro. The two clubs have agreed to price Firpo at €41m, so meeting the player's original €111m buyout clause.