Standard Sport understands that the Blues are among three clubs keen on signing the 16-year-old from Palmeiras, and several meetings over a potential transfer have already taken place.
Real Madrid remain frontrunners, and Paris Saint-Germain are expected to launch a bid, but the Blues are prepared to out-spend their rivals, with an agreement possible in early next year ahead of a summer 2024 move when the striker turns 18.
Asked about his favoured future destination, Endrick told TV Gazeta: "There's the Premier League, LaLiga, Bundesliga, Serie A, Ligue 1 ... I play video games a lot, I make a career out of playing.
"I watch all the leagues, I play in all the leagues, practically. I see myself playing in any league.
He continued: "My dream is to play in Europe, but what I want is to be playing. I'm focused on Palmeiras and I don't care where I'll be playing in the future ... Currently, Haaland is a new guy that I look up to, who was almost from my generation. But, of course, there is also Ronaldo."
Endrick is already a household name in Brazil after scoring 165 goals in 169 games for Palmeiras’ youth teams. It saw him become the club’s youngest-ever player after he made his senior debut last month aged just 16 years, two months and 16 days.
He netted his first senior goals a fortnight ago to become the second youngest scorer in Brazilian first division history.
“They all tell me to seize my moment. So that's what I always keep to myself. It will always be on my chest. Let's move on and, as they say, seize my moment,” he said.