Benitez dismissed the Bolton of the Allardyce years as an ugly, dirty, long-ball team and that was before Liverpool lost 2-0 at the Reebok.
Allardyce said: "Our relationship is average - a bad average. He doesn't like me because we beat them. Bolton weren't supposed to beat a team like Liverpool.
"We played a different game with different rules apparently. He criticised Bolton's style, saying we played outside the rules. I didn't see any referee's report saying we played outside the rules.
"When you get criticised by a fellow manager, you take it in the spirit that it comes and for me I find it a great compliment because I won when I shouldn't have.
"I used that kind of criticism as a big positive because I'd rather them moaning about the way I beat them than how well we played in losing 3-1 or 3-0.
"But I don't see why I won't be inviting him in for a glass of wine after the game.
"I went in for a glass of wine when Liverpool beat us 2-0 and he spoke about me in the papers. But I was big enough to walk in and test how good his red wine is."