Villas-Boas, who has signed a three-year contract with the Premier League side, has quickly been linked with a swoop for the star man of his Porto side.
And the prolific hitman himself has hinted it is a reunion he would relish.
"I am leaving things up to my agent," Falcao is quoted as saying by the Daily Star. "I am very calm about the situation but I know there has been some movement.
"My ambition is to keep working hard and I am convinced I can play in a superior league like England.
"If Chelsea is interested in me then all that needs to happen is for negotiations to take place."
Falcao is understood to have a ?26million release clause in his contract and Porto president Jorge Pinto da Costa will not budge from that valuation.
Pinto da Costa, who did not stand in Villas-Boas' way once his own ?13.2million release fee was met, will take a similar stance with his squad, with playmaker Joao Moutinho also linked with Chelsea.
He said: "If there are termination clauses we have to prepare for the possibility that a player will leave at the value set out.
"But I am not going to negotiate that price with anyone.
"As with Villas-Boas, there was no conversation with Chelsea, just the money paid into our account to release him."
Source: Team Talk
Source: Team Talk