Both sides exited the championship last year at the quarter-final stage but on this evidence the northsiders have genuine designs on going much deeper into the competition.
Mick Cannon’s side were the more economical unit in an attacking sense, even if Glanmire actually had a higher percentage of possession, particularly in the first-half.
Steve Hackett converted a 10th-minute penalty following a foul on Barry Hegarty to separate the protagonists at half-time, Mayfield leading 1-4 to 0-4.
However, Killian Burke’s fisted goal three minutes into the second half brought the sides level, but Glanmire failed to build on their first green flag.
Instead, Shane Kelly’s excellent goal with six minutes of regulation time remaining afforded Mayfield a 2-6 to 1-5 advantage at a crucial juncture.
The wing-back, running menacingly off the shoulder of in-possession Roy Scannell, received a handpass from his teammate and fired low to Brendan O’Connell’s left-hand side.
Glanmire’s captain and chief score-getter, Danny Molden nailed a penalty on 59 minutes after Michael Cussen was fouled, reducing the gap to two points.
But additional-time points from Nicky Kelly and Paul Condon (free) secured Mayfield’s triumph.
Glanmire had started brightly, with Ger O’Callaghan kicking them into a first-minute lead but Mayfield responded in-kind via Hackett’s goal.
Condon, converting the first of his four frees, pushed Mayfield three points clear but prior to Alan Barry narrowing the deficit on 15 minutes Glanmire missed a succession of point-scoring opportunities.
Cussen and Molden, in particular, were causing Mayfield problems defensively by creating and developing plays through quick hands, vision and movement but the end product undone all of that work, too often.
Scannell registered a beauty with the outside of his boot as the northsiders punished Glanmire’s wastefulness.
Nevertheless, Molden, scorer of 1-2 in total, registered two frees to ensure his team trailed by the minimum, 1-2 to 0-4, on 21 minutes.
Molden’s scores at this point should have galvanised Glanmire but it was Mayfield that packed a greater punch thereafter in the opening period.
Condon released Scannell to point before the former slotted over a free to extend the lead of Cannon’s men, 1-4 to 0-4.
Two minutes into additional-time at the end of the first-half wing-back Dave O’Neill careered through Glanmire’s defence and hit a 20-yard piledriver which crashed off O’Connell’s crossbar.
Mayfield’s three-point interval buffer was eroded soon after the restart though as Molden’s lengthy delivery was punched to the net by Burke.
Mayfield, too, were guilty of missed opportunities thereafter but Kelly’s major was vital in the context of the tie as the northsiders reached the fourth round.
P Condon 0-4 (0-4 f), S Hackett (1-0 pen), S Kelly 1-0 each, R Scannell 0-2, B Hegarty, D Hayes, N Kelly 0-1 each.
D Molden 1-2 (1-0 pen, 0-2 f), K Burke 1-0, G O’Callaghan, A Barry, M Cussen 0-1 each.
E Bond; S O’Sullivan, P Fitzpatrick, T Boyd; D O’Neill, K Brosnan, S Kelly; S O’Donovan (capt), S Fitzgerald; N Kelly, B Hegarty, D Lucey; S Hackett, P Condon, R Scannell.
D Hayes for Hegarty (52), L Cooney for Lucey (60).
B O’Connell; R Kelleher, B O’Sullivan, B Murphy; T Leahy, C English, M Connolly; K Burke, J Buckley; T Hourihan, M Cussen, G O’Callaghan; J O’Sullivan, D Molden (capt), A Barry.
E McEvoy for Hourihan (h-t), A Brennan for Leahy (45), L Hackett for J O’Sullivan (60).
Michael Sheehan (Liscarroll).