Bodin, who joined the Gulls from Swindon Town for £70,000 during the close season, will miss Torquay's Capital One Cup clash with Leicester City next Tuesday before returning to the Gulls squad for their opening league encounter at Fleetwood Town.
Gulls boss Martin Ling was disappointed to lose Billy's services, especially after he scored the equalising goal in Torquay's 1-1 draw with Premier League side Stoke City on Monday night, which marked the opening of Bristow's Bench.
“He will be away from Sunday to Wednesday and that’s why he only played half-hour against Stoke and he will do the same at Weston-super-Mare on Friday." said Ling.
“It is a little bit disappointing to lose him, especially when you look at the goal against Stoke and some of his touches were very good, but he will be ready for the league campaign at Fleetwood.”
If selected, Bodin will become the second contracted Torquay United player to play Wales Under-21's after Alex Lawless, who was selected in February 2006.
The qualfier will be played at Wrexham's Racecourse Ground on 15th August 2012 and the full squad is as follows:
Christopher MAXWELL - Fleetwood Town
Daniel WARD - Liverpool
Kieron FREEMAN - Nottingham Forest
Ashley RICHARDS - Swansea City
Daniel ALFEI - Swansea City
David STEPHENS - Hibernians
Troy BROWN - Aldershot Town
Adam HENLEY - Blackburn Rovers
Lee LUCAS - Swansea City
Jake HOWELLS - Luton Town
Ryan DOBLE - Shrewsbury Town
Billy BODIN - Torquay United
Ashton TAYLOR - Tranmere Rovers
Jake CASSIDY - Wolverhampton Wanderers
Eliot RICHARDS - Bristol Rovers
Jonathan WILLIAMS - Crystal Palace
Tom BRADSHAW - Shrewsbury Town
Jake TAYLOR - Reading