In the third-tier Nicky Rackard Cup, there were notable wins for Donegal (5-13 to 3-06) away to Sligo, and London, who got the better of Longford 0-21 to 2-12 at Michael Fay Park.
Tyrone also dominated Ulster rivals Fermanagh - 3-17 to 3-7 - in the Rackard Cup's Group 3A.
The Red Hands led 1-14 to 2-4 at the break in Omagh, despite conceding two Ollie McShea goals.
David Lavery and Vinny Owens wrapped it up for Tyrone in the second-half with further goals, while Paul Lavery polished off his impressive tally of nine points.