Alonso is retiring at the end of the season having won the World Championship twice with Renault.
The Spaniard has also represented Ferrari, Honda and McLaren finishing second on three occasions.
Alonso currently sits ninth in this year’s standings having suffered a bad crash at last weekend’s Belgium Grand Prix.
The 37-year-old recently claimed Red Bull approached him about replacing Daniel Ricciardo, who is set to join Renault.
However, Red Bull team principal Christian Horner denied those claims and made Alonso out to look like a liar.
But the retiring driver has now revealed that it wasn’t the first time Red Bull have wanted him to join their team.
“I had a couple of offers from Red Bull,” Alonso told Sky Sports. “I had one in 2007, in 2009, 2011, 2013 and two this year. One in Monaco and one in August.
The comments of Christian Horner and Mr Marco are completely out of context and a surprise about me creating chaos and being a difficult man to work with.
One, they never worked with me and secondly, they’ve been chasing me for five or six occasions in the several years and now they say that.
It has been weird, it has been unfair to me. I wrote to Christian, he apologised by email.
How it goes right now, in terms of competitiveness, Mercedes and Ferrari have a big advantage compared to Red Bull, who are secured in third.
“If I come back to Formula One one day, it is to fight for a world championship, and I don’t think that’s possible with Red Bull.”
Horner had claimed that he was not interested in taking Alonso to Red Bull.
We all regard him as one of the best drivers out there, but he doesn’t fit in with the Red Bull philosophy, and the junior programme we are investing in,” he said.
Fellow Red Bull chief Helmut Marko also played down the links.
“We were negotiating with him in 2007 or 2008. His demands were very tedious back then,” he added.
“If you look at his history, in McLaren and Ferrari, it was always a one-man show.”