Joao Pedro, also wanted by Newcastle, is leaning towards a move to Chelsea if they can reach agreement on a fee.
Chelsea have had a proposal of around £58m rebuffed with Brighton wanting in excess of £60m.
Since joining from Watford in 2023, Joao Pedro has scored 30 goals in 70 appearances for Brighton.
Borussia Dortmund’s Jamie Gittens, meanwhile, has agreed a seven-year contract with Chelsea.
The winger is set to undergo a medical with the Blues over the weekend.
Chelsea previously had a £42million bid turned down by Dortmund before striking their new deal.
Brighton star Joao Pedro is leaning towards joining Chelsea if a deal can be agreed
Enzo Maresca’s team have had a proposal of around £58million rebuffed for Seagulls’ striker
Brighton want more than £60m for the star, who is also wanted by Eddie Howe’s Newcastle
Gittens is returning to England after almost five years in Germany, having joined Dortmund from Manchester City in September 2020.
Over the last three seasons, he has scored 12 goals in 72 Bundesliga appearances.
He previously spent five years in Reading’s youth academy.
Gittens has been capped by England at five different age levels, but he was unable to play at this summer’s U21 Euros due to his participation at the Club World Cup.
Earlier this summer Chelsea signed forward Liam Delap for £30million from Ipswich Town.