They're now within three points of their opponents who they beat on Saturday.
Tullamore landed their first win of the AIL season on Saturday after a long trip up to Tyrone.
The Offaly club's game against Omagh Academicals finished 17 points to 10 in Tullamore's favour.
They remain bottom of the Division 2C standings, but have closed to within three points of their opponents from Saturday who are currently second from bottom in the league.
Tullamore are next in action against Belfast Harlequins in Spollanstown on Saturday, January 4th.
Busy Bank Holiday Weekend In Store For Athlone Town
Big Weekend Ahead In Leinster Minor And U20 Hurling Championships
Leinster SFC: Opportunity Beckons For Westmeath
Westmeath Footballer Luke Loughlin Ruled Out For Remainder Of Season
Laois And Westmeath Battle For Place In Leinster LGFA Decider
Alex Dunne Set For Action In Miami This Weekend
Fundraising Walk Planned For Westmeath Man Left Paralysed In Freak Accident
Shane Lowry In Action In Miami This Week
Westmeath Secure Leinster Minor Football Quarter Final
CCFL: Two Draws In Senior Division
Potential Hometown Fight On The Cards For Joe Ward
Ava O'Connor Breaks Personal Steeplechase Record
Laois Fixture In Two Weeks A "Massive Game" - Kevin O'Brien
Camross Camogie Honoured In Laois Following Historic All-Ireland Triumph
Athlone Town Secure Vital Win In Women's Premier Division
Laois And Westmeath To Clash In Leinster Camogie Decider
Leinster SHC: Offaly Suffer First Defeat Away To Galway
Draw Made For First Round Of Tailteann Cup
Offaly Soccer Club Opens Doors To All With Football For All Initiative
Laois Claim Vital Win In Joe McDonagh