The Italian told the papers he is desperate to bring in a frontman ahead of next season, with the top trio heading his shortlist.
Mancini is quoted in The Sun as saying that "Cavani and Falcao would work in England".
Specifically about Napoli's Cavani, he said: "I like him, but all the world wants him. There are big players. I don’t know what can happen."
He added: "Suarez plays for a top team like Liverpool. Cavani plays for Napoli. There’s Falcao but, again, all the managers like him."
To prove his point, the Daily Mirror carries a story about the £80 million Arsenal can commit to bringing Falcao to the Emirates Stadium.
Arsene Wenger will be given an unprecedented budget in the summer and the Frenchman claims the Gunners could meet an expected £40m asking price, if Atletico Madrid agree to sell the Colombia striker, and could also match the 27-year-old’s £40m wage demands.
"We can do it (Falcao). If we find a player of top, top quality we will take him," the Mirror quotes Wenger as saying. "We are in a stronger situation where we can spend some money. I’m not reluctant to do so."
Wenger, the Daily Star claims, is also plotting an audacious swoop for Chelsea whizkid Nathaniel Chalobah, who has starred during a loan spell with Watford this season.
Gareth Bale's future is beginning to show its potential as this year's biggest transfer saga, with the Mirror reporting that Real Madrid director of football Zinedine Zidane watched the Welshman on Thursday.
Bale is Madrid's number one target at the end of the current campaign and the paper claims he is "expected" to head to the Spanish capital once his £55 million valuation is met.
Meanwhile, Manchester City have added Borussia Dortmund's Germany star Marco Reus and Sevilla's Jesus Navas to their summer shopping list, the Daily Star claims.
The widemen have been targeted by City's director of football Txiki Begiristain and are being "closely monitored" by scouts.
The Daily Express claims Everton have set their sights on Spartak Moscow midfielder Aiden McGeady and Arsenal have set the ball rolling in their bid to seal a summer move for Fernando Amorebieta.
Meanwhile, Rio Ferdinand will be given the opportunity to earn up to £2m from a testimonial at Manchester United - even if he leaves Old Trafford at the end of the season.
The Daily Telegraph reports that the England international, whose contract runs out in the summer and who is yet to reach a new deal, has already started discussions over a testimonial at the end of the season.
"And it is understood that such a game would be sanctioned by Manchester United, even if Ferdinand moves at the end of this season," the paper claims.
And finally, the most bizarre story of the day, found in the Guardian: Paolo Di Canio has been accused of carrying out a midnight raid on his old Swindon Town office and tearing down pictures of his time as manager.
The paper reports: "The Italian reportedly entered the County Ground stadium in the early hours of Thursday morning, using keys he had kept after resigning on Monday. Di Canio and three members of his coaching staff were allegedly captured on CCTV entering the office and removing the mementos of his 21 months in charge."