It was reported on Friday that Chelsea made contact with the 29-year-old, whose season-long loan with United was a bitter disappointment.
The former FC Porto and Atletico Madrid superstar scored a paltry four goals in 29 appearances for the Red Devils, who opted against signing him on a permanent basis from parent club AS Monaco last weekend.
Falcao is not expected to stay with Monaco, but when asked about his future Falcao insisted he is fully focused on the forthcoming Copa America, which gets underway in Chile on June 11.
"I have a few offers, but my agent's looking after it,” Falcao was quoted as saying by British journalist Carl Worswick, who said the striker insists his priority at this moment in time is not finding a new club.
If Jose Mourinho wants to sign Falcao then Chelsea will secure his services for the 2015-16 campaign, according to Portuguese journalists Goncalo Lopes.
But is Falcao the striker Chelsea need?
With Didier Drogba gone the Blues do require another striker, but there has been little over the course of the past nine months to suggest Falcao is capable of rediscovering the form he showed prior to his serious knee injury in January 2014.
Chelsea fans: would you be happy if Jose Mourinho signed Radamel Falcao this summer? Have your say in the comments below!