The Cottagers only signed the attacker last summer and he helped them gain promotion to the Premier League last term.
Muniz, 21, is under contract with the top flight new boys until June 2026.
Sky Sports (live transfer blog, 28.07.22, 11.23) report that Boro have lodged an ‘approach’ for the attacker and want to bring him in on loan ahead of the 2022/23 Championship season to boost their options up top.
Chris Wilder’s side have today signed forward Marcus Forss from Brentford.
However, Sky Sports mention that Fulham ‘are not’ looking to offload him until they have a replacement.
Fulham story so far
Muniz rocked up in London last August and provided useful back-up to Aleksandar Mitrovic in the last campaign.
He went on to play 28 games in all competitions and chipped in with five goals.
Prior to his move to England, he played for Brazilian club Flamengo and broke into their first-team as a youngster.
His chances of getting game time with Marco Silva’s side in the Premier League are slim and a loan move to Middlesbrough would enable him to get more opportunities.
Fulham need to bring in another striker before sanctioning a departure so this is a saga that could drag on for now.
In terms of other news regarding the Cottagers, they are said to be closing in on the signing of Germany international goalkeeper Bernd Leno from Arsenal, as per West London Sport.