After a successful five-year spell at Stamford Bridge, the Spaniard will take on a new challenge elsewhere during the next transfer window.
Juventus have been one of a number of clubs linked with an approach for the 32-year-old, who has only played a bit-part role at Chelsea this season.
However, according to AS, Pedro is prioritising a switch to Roma, where he is likely to earn more first-team football.
Depending on whether they are able to qualify for the Champions League, the Italian outfit may opt to show a preference towards free agents.
Pedro has made just eight starts and four substitute outings in the Premier League and Champions League this campaign, contributing one goal and one assist.