Harwood-Bellis, 22, joined Southampton on a permanent basis last summer after helping the Saints to promotion during a season-long loan move from Manchester City in the 2023-24 season.
He has made 13 appearances for Russell Martin’s side this season, scoring three times.
Hall, 20, joined Newcastle in a £28m deal from Chelsea last summer after spending the previous campaign on loan in the north east of England.
The left-back has appeared in all 10 of Newcastle’s Premier League matches this season, starting seven of them.
“They’re both players who have played a lot of minutes this season and have shown they can consistently play in the Premier League at a high level,” said Carsley.
“Players that I both know really well. I’ve known Taylor from Man City and captaining the under-21s, having a successful summer with promotion and playing in the Premier League week in and week out, he’s a player that really deserves it.
“He’s an outstanding captain and a brilliant example to the rest of the players in the under-21s squad.
“Lewis is a player who’s taken his time to settle in – he’s high quality, left-footed and a player who deserves to be in and has shown he can be really consistent.”
Liverpool midfielder Curtis Jones has earned a call-up after he pulled out of October’s squad for the birth of his child.
The 23-year-old, who won the European Under-21 Championship under Carsley in 2023, is yet to make his debut for the national side.
“Curtis is an all-round player, who plays in various positions,” said Carsley.
“He is a player I highly rate, he’s one of the best I’ve worked with in terms of ability. He is showing consistency at a high level now. He can score goals, assist and is player we’ve had a lot of success with in the past.”
Manchester City defender John Stones is absent after missing the past two matches with a foot injury, but club team-mate Jack Grealish is included despite missing City’s past five matches through injury.
Chelsea winger Cole Palmer has been selected, despite being an injury doubt for Sunday’s Premier League match against Arsenal.
Arsenal midfielder Declan Rice is called up despite missing the Gunners’ 1-0 defeat by Inter Milan in the Champions League on Wednesday.
Southampton’s Aaron Ramsdale is selected ahead of Newcastle goalkeeper Nick Pope, while Manchester United duo Kobbie Mainoo and Harry Maguire miss out through injury.