The Cottagers are looking to bolster their forward options before the transfer window slam shuts on Thursday at 11pm.
Fulham's efforts to sign a striker could be intensified after Raul Jimenez was forced off at half time in Tuesday's goalless draw with Everton due to a hamstring issue.
If Jimenez is out for a significant period of time, Silva will be left with Carlos Vinicius and Rodrigo Muniz as his main centre-forward options.
With Fulham determined to recruit a new number nine, Chelsea's Broja has emerged as one of their top targets for the January window.
After allegedly seeing an initial loan bid rejected, Fulham have been working on submitting a new proposal ahead of the transfer deadline.
According to talkSPORT, Fulham have now tabled a fresh offer to sign the Albania international on loan for the remainder of the season.
Fulham's bid is understood to have an option to buy clause rather than a mandatory one, leaving Chelsea with a decision to make before the window shuts.
The Blues have been open to offers for Broja, as they look to offload academy products to help alleviate their Financial Fair Play concerns.
With Broja under contract until the summer of 2028, the Blues have been holding out for their desired asking price of £50m.
They have also been willing to listen to loan proposals, but are keen to include an obligation to buy clause in any temporary deal.
Chelsea have already turned down a loan offer from Wolverhampton Wanderers this week after Gary O'Neil's side failed to meet their financial demands.
Amid the uncertainty surrounding his future, Broja was an unused substitute in Wednesday's 4-1 defeat to Liverpool at Anfield.
The 22-year-old has made 19 appearances in all competitions this season, scoring two goals and providing two assists.