Lazio and Roma are worried that Pedro has his eyes set elsewhere as the Chelsea star’s contract dwindles down.
The forward will see his current deal at Stamford Bridge expire in the summer.
It means he will be allowed to leave the club as a free agent with the Blues unlikely to offer him a new contract at this time.
Several clubs have taken an interested in the former Barcelona star, including Serie A outfits Roma and Lazio.
Both Rome sides are looking to snap up the 32-year-old this summer.
Serie A has often become a welcome hunting ground for aging players.
Lazio and Roma want Pedro on a free transfer
But Sport Witness are reporting that the two Italian sides are worried that he will snub interest to accept ‘exotic’ offers from elsewhere.
That includes a reunion with former Barcelona pal Xavi at Qatar side Al-Sadd.
The Doha-based outfit are recognised as the best team in the country, who also employ ex- Atletico Madrid captain Gabi as a player.
Pedro has been used sparingly by Frank Lampard at Stamford Bridge this campaign.
There has been an emphasis on youth this campaign, with the likes of Callum Hudson-Odoi, Mason Mount and Christian Pulisic taking precedent.
The winger has played just nine times this season in the Premier League after making a total of 201 appearances for the club.
Pedro has hardly featured at Chelsea this season under Frank Lampard
Pedro joined Chelsea in 2015 and has won the Premier League, the FA Cup and the Europa League.
And the veteran forward has already stated that he has offers from elsewhere should he leave this summer.
He said in December: “Yes there are offers, there are always clubs that are interested and that is a joy.
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“[Whether in Spain or elsewhere] that is good news. Nobody knows what can happen. I still have years to play, but you’re thinking about what things are going on.