Nigel Pearson's men could come up against the French club's record signing Radamel Falcao, who recently joined from Atletico Madrid in a £51million deal.
Monaco have already been busy this summer, also signing Porto duo Joao Moutinho and James Rodriguez for a combined fee of £60million, and snapping up Real Madrid defender Ricardo Carvalho on a free.
Carvalho was an unused substitute for Real Madrid in a pre-season friendly against the Foxes in 2011.
The Foxes also face away trips to League Two duo York and Northampton before kicking off their Championship campaign against Middlesbrough on August 3.
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- Atletico Madrid
- Radamel Falcao
- Real Madrid