The Blues are currently deliberating over how to improve their attacking options with minimal experienced competition for Nicolas Jackson.
Armando Broja is expected to be sold before the end of the summer transfer window, while Marc Guiu is just 18 years of age and yet to prove himself.
For months, there are speculation regarding an approach for Victor Osimhen, but the Napoli striker is currently out of Chelsea's price range.
As a result, it appears more likely that the Nigeria international will eventually link up with PSG, who have money to spend given that Kylian Mbappe is now off their wage bill.
Randal Muani one of two players offered to Chelsea
Nevertheless, should Osimhen arrive at Parc des Princes in the foreseeable future, space would need to be made in the senior ranks given the strength-in-depth that PSG would have down the middle of their frontline.
According to HITC, Chelsea have been asked whether they would like to sign either Randal Kolo Muani or Goncalo Ramos, each of whom have only spent one year at PSG.
Intermediaries are said to have reached out to a number of clubs, with Chelsea allegedly featuring on that list due to their desire to acquire another striker.
The report adds that the Blues hierarchy are yet to decide whether to take PSG up on their invitation to make a bid for either player.
Will either player interest Chelsea?
Depending on the fee that could be involved, the chances are that Chelsea would at least give consideration to signing Kolo Muani or Ramos.
The former contributed seven goals and five assists from his 19 starts and 17 substitute outings in Ligue 1 and the Champions League in 2023-24.
Furthermore, the 25-year-old made five outings for France at Euro 2024, scoring in the quarter-final defeat to Spain having been promoted into the starting lineup.
Meanwhile, Ramos chipped in with 11 goals and one assist from 18 starts and 18 substitute outings in Ligue 1 and Champions League, the lack of regular starts perhaps an indication that either player would be open to a transfer.
However, each of them cost at least €80m when leaving Eintracht Frankfurt and Benfica respectively.