Falcao made his comeback from injury as Monaco drew 2-2 with Valencia in the Emirates Cup on Saturday.
The Colombia striker, who missed the World Cup because of a serious knee injury, made an appearance off the bench for Monaco in the closing stages, his first since January.
Portugal Under-21 centre-back Ruben Vezo diverted an Aymen Abdennour header into his own net to give Monaco a 20th-minute lead,
However, former Chelsea and Real Madrid defender Ricardo Carvalho scored an own goal himself from Antonio Barragan's cross to level up the scoreline eight minutes before the interval.
After the break, former Liverpool loanee Aly Cissokho set up Paco Alcacer in the 70th minute to put the La Liga side in front.
But Monaco substitute Lucas Ocampos drilled in an equaliser 10 minutes later.
On Sunday, Valencia take on Benfica before Monaco meet hosts Arsenal.