The Barcelona forward states that the Brazil legend and the president of Santos both convinced him to turn down a move to the Premier League club following a "huge" offer in 2010
The 22-year-old striker has starred for the Selecao at the World Cup this summer, scoring four goals as the hosts look to win the tournament in front of their own fans.
Barcelona eventually bought the forward last summer in a €57million (£45.7m) move that has since caused the Spanish club numerous legal problems, but Neymar claims the president of Santos and Pele both persuaded him to turn down a move to England four years ago.
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"Chelsea had made a huge transfer bid. In the middle of our conversation, the president turned off the lights and pointed at an empty chair.
"‘This is the chair of the great national sports hero. Since Ayrton Senna’s death, this chair is vacant. If Neymar Jnr stays in Santos and refuses Chelsea’s proposal, he will give his first step to sit in this chair.’
"That made us think. That decision would be a turning point in my life. Even Pele called me. Can you imagine how important I felt? The King of Football called and asked me to stay.
"He reminded me of his entire career with Santos, his five world titles with the national team and the club, and all the recognition he received. It wasn’t easy but it was the right decision for us. We did the right thing for our family, friends and my career."
Neymar scored nine goals in 26 La Liga appearances as Barcelona finished runners-up to eventual champions Atletico Madrid, with Los Rijoblancos securing a 1-1 draw at Camp Nou on the final day to clinch the title.