The towering 6ft 5in forward was freed by Sky Bet League Two side Bury earlier this month after joining them in the summer following spells in Italy, France and Belgium.
The 22-year-old scored twice in five appearances for Bury, including a spectacular effort in August's League Cup defeat by Norwich City, and Falkirk manager Gary Holt is weighing up an offer.
"He's a different ingredient for the pot," he said. "We're taking a look at him because he's different to what we already have. Don't get me wrong, I'm happy with what we have currently but there may be instances where we could do with something different and Jessy is different, so we're having a look."