Bideford have been drawn in Group C with Wycombe Wanderers and Luton Town.
Group B features Yeovil Town, Grimsby Town and Belgian club Royal Racing Montegnee.
Fifteen matches will be played from Monday, July 13, to Sunday, July 19, at Appledore, Barnstaple, Bideford, Ilfracombe and Torrington.
The semi-finals will be played at Appledore's Marshford and Barum's Mill Road, with the final at the Sports Ground, Bideford.
Errea South West Challenge Cup 2009 ¾ Group A: Exeter City, Eastleigh, Ilfracombe. Group B: Yeovil Town, Grimsby Town, Royal Racing Montegnee. Group C: Luton Town, Wycombe Wanderers, Bideford. Group D: Blackpool, Rushden and Diamonds, Barnstaple Town.
Fixtures ¾ Monday, July 13 ¾ Group A: Ilfracombe Tn v Exeter City (at Marlborough Park, Ilfracombe, 6pm). Group B: Royal Racing Montegnee v Yeovil Tn (at Marshford, Appledore, 6pm). Group C: Bideford v Wycombe Wdrs (at the Sports Ground, Bideford, 8pm). Group D: Barnstaple Tn v Blackpool (at Mill Road, Barnstaple, 8pm).
Wednesday, July 15 ¾ Group A: Eastleigh v Ilfracombe Tn (at Marsford, Appledore, 6pm). Group B: Grimsby Tn v Royal Racing Montegnee (at Marlborough Park, Ilfracombe, 8pm). Group C: Luton Tn v Bideford (at the Sports Ground, Bideford, 8pm). Group D: Rushden and Diamonds v Barnstaple Tn (at Mill Road, Barnstaple, 6pm).
Friday, July 17 ¾ Group A: Eastleigh v Exeter City (at Mill Road, Barnstaple, 8pm). Group B: Yeovil Tn v Grimsby Tn (at Vicarage Field, Torrington, 7pm). Group C: Wycombe Wdrs v Luton Tn (at Marshford, Appledore, 6pm). Group D: Blackpool v Rushden and Diamonds (at Marlborough Park, Ilfracombe, 8pm).
Saturday, July 18 ¾ semi-finals: Winners Group A v Winners Group C (at Mill Road, Barnstaple, 2pm); Winners Group B v Winners Group D (at Marshford, Appledore, 5pm).
Sunday, July 19 ¾ final (at the Sports Ground, Bideford, kick-off to be confirmed).