The New Saints' midfield due missed the friendly clash with England at Newtown earlier month through injury, but Jones has already returned to action from a hamstring strain, and Edwards is now ready for his first-team comeback after a long spell in the sidelines.
Alex Darlington, who started in the 2-2 draw against the Three Lions, retains his place in the squad, while manager Terry Boyle has again named former Saints' defender Rob Williams, now with Blue Square Premier outfit Altrincham.
The final tie of the International Challenge Trophy group at The Airfield on Tuesday 13 October (7.30) is now a dead rubber, after Northern Ireland beat Estonia in Tallinn on Tuesday.
Wales cannot qualify for the latter stages after a 2-2 draw in Belfast and a 7-2 away defeat to Portugal, so several members of Boyle's squad will be making their swansong in Welsh colours after reaching the maximum age for the Under-23 side.
Squad: Lee Idzi (Haverfordwest County), Stephen Cann (Aberystwyth Town), Lee Surman (Port Talbot Town), Michael Johnston (Bangor City), Mike Williams (Kidderminster Harriers), Rob Williams (Altrincham), Curtis McDonald (Forest Green Rovers), Michael Pearson (Barrow), Scott Barrow (Tamworth), Chris Jones (Neath FC), Luke Sherbon, (Aberystwyth Town), Ashley Williams (Airbus UK Broughton FC), Aeron Edwards, Craig Jones, Alex Darlington (The New Saints), Jamie Reed (Bangor City), Jack Christopher (Haverfordwest County), Marc Williams (Kidderminster Harriers).
Photo: Aeron Edwards and Craig Jones.