Pele arrived in November after being released by West Brom and his contract with the Bairns is set to expire in the summer.
Boss Eddie May - who blamed Falkirk's pitch for the injury - told the Herald: "Pele had been doing well for us, was coming on to a right game and looked a big player for us for the rest of the season.
"But it's not to be and it's a real shame for him.
"Since he came in from West Brom his attitude has been fantastic, the way he has mixed with the lads."
Source: Team Talk