The 27-year-old winger looked ready to leave the Camp Nou after he expressed his frustration at the lack of playing time under Luis Enrique last season.
Having started just 15 La Liga games while being overshadowed by the attacking trio of Lionel Messi, Neymar and Luis Suarez, he said: "It is a difficult situation for me right now.
"But I will be patient until the end of the season to make my decision on what to do next. I know there are clubs interested in me, which is a compliment, but I will evaluate where I stand in June."
But earlier in June, Barcelona revealed the winger decided to commit his future to the Catalans by signing a new long-term contract until 2019, with a €150m release clause.
It looked as though the agreement put an end to the speculation regarding a summer move away from the Nou Camp but Mundo Deportivo has later claimed the opposite is true.
And the Catalan publication adds Barcelona are ready to listen to offers of around €30m for the player.
Mundo Deportivo suggests that with Pedro's previous contract set to expire in summer 2016, the new agreement was only a gesture to let Barcelona keep his valuation – as he could have moved for free at the end of next season.
It claims Pedro is reconsidering a move away from the Camp Nou to have more playing time and prepare himself for Euro 2016.
Mundo Deportivo understands the club are yet to receive a formal offer but points out Liverpool, Manchester United and Arsenal have approached the player regarding a potential move to the Premier League. The Spanish publication claims Inter Milan are also monitoring the situation.