The Arsenal academy graduate, whose contract runs out in the summer of 2023, has made just two Premier League starts this season.
AC Milan defeated AS Roma 3-1 in the Serie A fixture at San Siro on Thursday.
AC Milan will host AS Roma in the Serie A fixture on Thursday.
AS Roma are reportedly on the verge of signing Arsenal player Maitland-Niles.
AS Roma defeated Spezia 2-0 in the Serie A fixture at Olimpico on Monday.
Abraham left Chelsea to move to the Italian capital in the summer and has hit five goals so far this season for Roma.
Jose Mourinho was scathing in his criticism of his AS Roma players after they lost to Bodo/Glimt in the Europa Conference League this week.
Juventus beat AS Roma courtesy of a lone goal by Moise Kean in the Serie A fixture on Sunday at Juventus stadium.
Tammy Abraham has been in fine form for Roma, making his presence felt with fine performances.
AC Milan continued their impressive start to the Serie A season as they beat Atalanta 3-2 in Bergamo on sunday.