Barca are said to be looking to recoup some of the £142m splashed out to sign Coutinho a year ago and will conduct business with United if they have the funds to push through a deal.
The interest clearly affected him.
"Now Coutinho isn't playing and it's the other way around".
The 26-year-old joined the Catalans from Liverpool in January 2018 for a fee around KSh 18.7 billion (£145 million) but has failed to impress the coaches at Camp Nou.
Coutinho hasn't started a La Liga game since December 2 and is reportedly growing frustrated.
He refused to have his confidence knocked after having his first goal wrongly ruled offside, and latched onto Ronaldinho's pass inside the box just a minute later before volleying the ball over the top of Albacete stopper Raul Valbuena from 16 yards.
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The Italian media outlet go on to suggest that Coutinho's potential sale would help FC Barcelona raise funds to re-sign Neymar from Paris Saint-Germain.
After being shocked by Levante, Ernesto Valverde's players gave a timely reminder of the quality they possessed in what was nearly a flawless team display.
If he is to become a success at Barca, he simply must rediscover that mentality - it's what they signed him for, after all.
The Italian outlet has reported that Barcelona will "listen" to offers for Coutinho, but will likely not settle for less than the amount they paid to secure his transfer.
"But, in principle, we are happy with what we have and I am focused on the players we have here".
It's hard to see how Barca's concerns will be easily quashed and they look like real hurdles for both player and club.
But will consider leaving at the end of the season if his situation in Spain does not improve, while his family are said to be happily settled in Spain.