The LYIT will face University of Limerick in round two of the Sigerson Cup.
The Letterkenny side came from four points down in the closing minutes to win 1-13 to 1-11 against IT Carlow.
Downings Keelan McGroddy scored the goal late on while Jason McGee and Liam Gaughan scored four points a piece.
The other LYIT scorers were Ryan McFadden, Rory O’Donnell, Conor O’Donnell and Jack McSharry.
LYIT Manager Maxi Curran told Brendan Cummins he was pleased his side didn’t give in:
Limerick won comfortably in their opening game beating IT Sligo 4-15 to 0-7 while DCU also sailed into the next round with a 2-17 to 1-9 win over Maynooth.