Pique and Messi, who were part of Barcelona???s shock 1-0 defeat to Malaga at the weekend, were pictured leaving the Casino de Barcelona late on Sunday alongside Chelsea???s Cesc Fabregas.
But Enrique had no interest in speaking about ???gossip??? at his pre-Manchester City press conference, claiming his squad were fully focused on the challenge ahead of them at the Etihad.
???No gossip. Not interested,??? the coach said. ???It forms part of his private life. I concentrate on football. I???m not concerned about things outside of it.”
When Pique was asked by Spanish journalists if he had anything to say about his night out with Messi, the former Manchester United defender replied: ???No. It is my private life. I just had a nice night.???
Barcelona won 11 consecutive games before suffering defeat at the weekend and it called into question Enrique???s relationship with his players once again.
However, Pique quashed those doubts, stating there had been no problems or in-fighting.
???No, there is no problem between us and the manager,??? he said. ???We get on fine, the relationship is good. We don???t have to worry about it. It is just one defeat, it is behind us now.
???We have shown how we can play here in the past.???
Barcelona claimed a 2-0 win at the home of the Premier League champions on their way to a 4-1 aggregate win at the same stage of last season???s competition.
And Enrique believes his side are fully motivated to go even further in this year???s competition.
???We have to aspire to win everything because we are Barca. We have to change our mentality because we are going into a different competition with a tie over two legs,??? he said.
???To come to play in a country like England with a footballing tradition motivates the players, more so against a side who are candidates to win the competition.
???In this kind of tie with two teams looking to win the competition, there is no favourite.???