The winners of these ties will then go forward to the second round to play the 16 clubs from Divisions 1A and 1B of the AIB League.
The first round of the competition will be played on the weekend of September 26 and 27, and the second round will be played on the weekend of October 17 and 18.
Round three of the AIB Cup has been schedule for November 7-8, the quarter-finals will take place on November 21-22 with the semi-finals set for December 19-20.
Today's draw was made by IRFU President John Callaghan and Uel Graham from First Trust Bank.
Cup holders Ballynahinch have been drawn at home to Cork Constitution in a repeat of last season's final, while AIB League Division One champions Shannon will face Buccaneers.
In the first round, Donnybrook neighbours Bective Rangers and Old Wesley will face off with a a home tie against Ballymena the prize in the second round.
2009/10 AIB CUP -
FIRST ROUND DRAW (ties to be played on September 26):
Match A: Sunday's Well v Malone
Match B: Rainey Old Boys v Old Crescent
Match C: Navan v Instonians
Match D: Bective Rangers v Old Wesley
Match E: Midleton v UCD
Match F: Nenagh Ormond v Portadown
Match G: County Carlow v Queen's University
Match H: Clonakilty v Bruff
Match I: De La Salle Palmerston v Greystones
Match J: Highfield v Thomond
Match K: Terenure College v Connemara
Match L: Lansdowne v Ards
Match M: Barnhall v Suttonians
Match N: Dublin University v Banbridge
Match P: Belfast Harlequins v Naas
SECOND ROUND DRAW (ties to be played on October 17):
Match 1: St. Mary's College v Clonakilty/Bruff
Match 2: Young Munster v Terenure College/Connemara
Match 3: UL Bohemians v Belfast Harlequins/Naas
Match 4: Dungannon v County Carlow/Queen's University
Match 5: Navan/Instonians v Garryowen
Match 6: Bective Rangers/Old Wesley V Ballymena
Match 7: Ballynahinch v Cork Constitution
Match 8: Lansdowne/Ards v Nenagh Ormond/Portadown
Match 9: Highfield/Thomond v Midleton/UCD
Match 10: Sunday's Well/Malone v Blackrock College
Match 11: Rainey Old Boys/Old Crescent v Clontarf
Match 12: UCC v Corinthians/Wanderers
Match 13: Old Belvedere v De La Salle Palmerston/Greystones
Match 14: Galwegians v Dublin University/Banbridge
Match 15: Shannon v Buccaneers
Match 16: Dolphin v Barnhall/Suttonians
The winners from round two will be entered into further open draws for round three, the quarter-finals and semi-finals.
The final will be played on January 30, 2010. The draw for the AIB Junior Cup will be made at a later date.