Having claimed a stunning goal on his Under-21s debut against Kosovo last month, Palmer maintained his impressive international strike rate by firing home England’s second goal in Celje.
Conor Gallagher had already fired the Young Lions ahead inside five minutes to give Lee Carsley’s side the perfect start before Palmer took centre stage.
The City youngster showed great vision and technique to strike a tremendous goal from just inside the penalty area on 14 minutes to double England’s tally and leave them looking set fair.
However, the hosts staged a stirring fightback after the break to earn a share of the spoils.
First, Mark Spanring found the left-hand corner of the net on 49 minutes to half the arrears. Then Dusan Stojinovic levelled affairs by heading home unmarked from a 66th minute.
Fellow City youngster Taylor Harwood-Bellis, who is currently on loan at Anderlecht, made his second England Under-21 appearance while Tommy Doyle – currently on a season-long loan at SV Hamburger, was an unused substitute.
The result leaves the Young Lions in third place in Group G with four points from two games, behind Abania who have six points from three and leaders the Czech Republic who nine points.
England’s Under-21s are back in action again on Monday when they travel to take on Andorra’s Under-21s.