The Colombian striker was originally named in the squad for Saturday's match but his late omission has raised serious questions over his future in France.
Head coach Leonardo Jardim had initially named the Colombian forward in a panel of 19 to face the northern outfit and, having started last weekend's match against Nantes it was fully anticipated that he would once again feature from the outset at Stade Louis II, particularly after he scored in that clash.
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Falcao, who missed the second half of last season with a serious knee problem sustained in a Coupe de France match in January, has, however, been closely linked with a move away from the principality for much of the summer.
Monaco has not reported any further physical complaints from the forward, and so it appears that his exit is likely to come in the next few days, with French media suggesting that a deal could even be completed on Saturday evening.
Several sides have been closely associated with the 28-year-old forward, including Juventus, Arsenal, Liverpool and Real Madrid.
While it is expected that Monaco's asking price of 65 million euros will be too great to tempt suitors before the end of the transfer window, it appears likely that the former Atletico Madrid and Porto striker will instead be shipped out on a one-year loan, expected to cost the purchasing club €20 million.
Falcao's record in France reads that he has scored 13 goals in 22 matches, though he has been criticized for his failure to replicate his Atletico Madrid form in Ligue 1.