"It was hard and very intense as well - I was thinking that the Everton players have got a lot of friends at Liverpool," Kompany is quoted as saying by Sky Sports News.
"It was tough and we ultimately got a great result. To be honest we've not had a lot of great results but we've never really had took many bad games either.
"It's just one of those places. When we take the lead it's never finished - they always find a way to make it difficult and they always find a way to score a goal that put them back in the game."
City face Aston Villa and West Ham United in their final two games of the season.