The striker is believed to be available after falling out of favour with the German club in recent times.
He is seeking regular first-team football, which has increased speculation that a short-term loan deal could be agreed before the end of the transfer window.
The Premier League duo are said to be attracted to the burly front-man, as they look to improve their respective squads for the latter end of the season.
Fulham are particularly interested in bolstering their forward options, with manager Martin Jol seeking an alternative option the languid Dimitar Berbatov.
Everton are also in the chase as they look to build on their solid start to the season and break into the top four.
Reports suggest that De Camargo has jetted into London to hold talks with the Cottagers, hinting that a deal could be concluded quickly.
The attacker began his senior career with Racing Genk, before joining FC Brussels.
From here he moved to Standard Liege, where he enjoyed, arguably, the finest years of his career to date.
Some impressive performances tempted Borussia Monchengladbach to swoop for his signature in 2010.
Although he was born in Brazil, the 29-year-old elected to represent Belgium at international level, winning nine caps.