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.