Five points were the difference in the victory.
O'Dempsey's got their Laois Senior Football Championship underway with a win in Portlaoise last night.
At half time there was just a point between last year's beaten finalists and Graiguecullen.
However O'Dempsey's pulled away in the second period to win on a final scoreline of 1-11 to 1-6.
Peter O'Leary is part of the O'Dempsey's management team - he says their scores just before half-time dealt a psychological blow to their opponents:
St Brigid's And St Joseph's Aiming To Reach Leinster Semi-Finals
The two games take place tomorrow.
Ballinagar And Milltown To Meet In Leinster Intermediate Quarter-Final
The winners will head into the semi-finals.
Ronan Coffey Praises Portarlington’s Young Guns Ahead Of Leinster Quarter-Final
Portarlington take on Rathvilly this Sunday.
Mauricio Pochettino Set To Be Appointed Manchester United Manager
Michael Carrick was sacked as Head Coach yesterday.
Darragh Murray Named In Irish Squad For Fiji Clash
Ireland welcome Fiji to the Aviva Stadium this weekend.
Portlaoise Panthers Aiming To Bounce Back In Division One
The Laois club are in action this Saturday.
The Down's Manager Issues Warning About Having Home Advantage
The Westmeath Champions are aiming to reach the semi-finals this weekend.
Portarlington On The Road In Leinster
The Laois side take on Rathvilly this Sunday.
The Down's Building Towards Leinster Football Quarter-Final
The Westmeath Champions are just 60 minutes away from the semi-finals.
Laois Provisional League Fixtures Revealed
The league gets underway in January.
The Harps Manager Praises His Sides Efforts In Leinster
The Harps competed in their first provincial game on Sunday.
Buccaneers Claim Back To Back AIL Wins
The midlands side secured a bonus point win.
Kilcormac Killoughey Captain Full Of Praise For Goalkeeper
Conor Slevin scored the winning point for KK on Sunday.
Lough Lene Gaels Suffer Late Heartbreak In Leinster Quarter-Final
The Westmeath side came very close to reaching a semi-final.
Crookedwood Win Leinster Junior Camogie Title
The Westmeath side won a dramatic finale.
Conor Slevin Wins Dramatic Leinster Quarter-Final For Kilcormac Killoughey
The Offaly side defeated Naas in a thriller.
Ireland Secure Comfortable Win Over Argentina
Andy Farrell's side ran in six tries.
Kilcormac Killoughey Seal Win But Heartbreak For Lough Lene Gaels And The Harps
The Leinster quarter-finals served up exciting finishes.
Midlands Family Takes On Ireland’s Fittest Family Challenge
The series continues this weekend.
Clough Ballacolla And Crookedwood To Clash In Leinster Junior Final
The game takes place this Sunday.
