"We'll see what the chances are for Roman to come back," Bianchi said at his official unveiling on Wednesday.
Riquelme, 34, left Boca after they lost the South American Libertadores Cup final to Corinthians, citing exhaustion.
Bianchi, Boca's most successful coach in his two previous spells, was officially unveiled on Wednesday as Falcioni's replacement at the club's Casa Amarilla training complex where he signed a three-year contract.
"The decision is Roman's, everyone is the owner of their own decisions. I'll speak with him and see if he is prepared [to return]," said Bianchi, who quit as Boca coach for the second time in 2004.
"I know what Roman can give the team, but until I meet with him I can't say anything else," he added.
Club president Daniel Angelici told Infobae: "If there's anyone who can make Riquelme change his mind, that person [is Bianchi], that's a chance Carlos can go for, speaking to him face to face."
