The Daily Mirror is reporting that the Blues are keen on signing the 25-year-old left-back as they look to bolster their squad significantly during the summer window.
The same report says that Chelsea FC are likely to find themselves in a transfer “tug of war” with London rivals Tottenham as both of the Premier League clubs look to try and bring the Frenchman to the capital this summer.
According to the same story, Chelsea FC are resigned to missing out on their top target Alex Sandro from Juventus, and so Kurzawa has emerged as their next choice.
Tottenham, meanwhile, are thought to be keen on the PSG star because the Lilywhites are expected to sell Danny Rose in the summer transfer window.
Kurzawa has been in good form for PSG so far this season, scoring five goals and making three assists in all competitions for the French side.
He has featured 26 times in all competitions for PSG to help them close in on a domestic treble.
Chelsea FC are likely to be on the lookout for a number of new signings this summer as they look to build a squad capable of winning the title next term.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news