Stamford Bridge could be about to sign the Brazilian star.
Santos won the Copa Libertadores final by beating Penarol 2-1 in the second leg but the game was marred by a brawl between the players at full-time.
The Brazilians sealed the aggregate victory over their Uruguayan rivals thanks to goals from Neymar (47) and Danilo (69) before an own goal after 80 minutes set up a tense finish.
It was the first time Santos had won South America’s version of the Champions League since Pele lifted the trophy in 1963.
But the game will attract negative headlines for the mass brawl which ensued as Santos celebrated, with Penarol players attacking the victors.
Police had to come onto the field to separate the players as both sides exchanged punches and kicks.
A couple of Santos players were hit and stayed on the ground after the fight, but none were seriously injured.
Penarol players later calmed down and came back to receive their runner-up medals.
“A (Santos) fan entered the field and provoked us,” Penarol forward Alejandro Martinuccio said. “They have to learn how to celebrate, we had accepted the loss.”
“They were a worthy opponent, but they don’t know how to lose,” Santos defender Leo said.
The star of the final was Neymar, who is the subject of a £40million tug-of-war between Real Madrid and Chelsea, after being touted as the next Pele.
Neymar kneeled down a few moments after the final whistle and sobbed with his hands covering his face.
“It’s the happiest day of my life, I made history,” Neymar said. “We deserved this title, it’s time to celebrate.”
Santos: Rafael, Danilo, Edu Dracena, Durval, Leo (Alex Sandro, 68), Arouca, Adriano, Elano, Paulo Henrique Ganso (Para, 86), Neymar, Ze Eduardo.
Penarol: Sebastian Sosa, Alejandro Gonzalez (Emiliano Albin, 38) (Fabian Estoyanoff, 79), Carlos Valdez, Guillermo Rodriguez, Dario Rodriguez, Matias Corujo, Nicolas Freitas, Luis Aguiar, Matias Mier (Urretaviscaya da Luz, 64), Alejandro Martinuccio, Juan Manuel Olivera.