The Colombian international found the target after just six minutes as Atletico beat Malaga 2-1 at the Vicente Calderon.
Falcao has been linked with a move to the Premier League, with champions Manchester City and Champions League winners Chelsea interested in the Atletico Madrid forward.
Roberto Di Matteo's Chelsea lost Didier Drogba over the summer, and chose not to replace him. Fernando Torres and Danny Sturridge are left as their only recognised strikers.
As a result, the Stamford Bridge side have been linked with Falcao, with a £45m move to Chelsea thought to be on the cards when the January transfer window opens.
But they are likely to face stiff competition from Manchester City. Roberto Mancini was in attendance as Falcao stooped to head his side in front against Malaga, and the City boss was likely to have been impressed by what he saw.
The Colombia international has revealed his desire to one day test himself in the Premier League, but Atletico chairman Enrique Cerezo said he's not concerned over the future of Falcao.
"We know that Mancini has come to watch the game but we are calm with the topic of Falcao," Cerezo told Cadena Ser.
Falcao leads the La Liga scoring charts, ahead of Lionel Messi and Cristiano Ronaldo, and the 26-year-old already has 11 goals this season in all competitions.
The former-Porto striker hit 36 goals last year - his first season with Atletico - prompting speculation that he could be the subject of a big-money bid by a top Champions League team.
Chelsea and Manchester City lead the chase at the moment, but a whole host of clubs would likely be interested in the forward should he become available.