Veteran Galway midfielder Paul Conroy rolled back the years with a vintage display to rescue his side from a sticky situation in difficult wind and rain at Pearse Stadium.
Conroy kicked three excellent points as Galway eventually saw off a determined Monaghan who levelled just after half-time, having trailed by just a point at the break having played against the wind.
But with Conroy and John Maher excelling, Padraic Joyce’s men got on top and did enough to book their place in next weekend’s All-Ireland quarter-finals.
However, there are now fresh doubts about Shane Walsh after the attacker limped off in the opening half of a game that was not easy on the eye.
Monaghan won the toss and opted to play against the wind and rain in the opening half and after packing out their defence they were in a strong position for victory when they went in trailing by just 0-6 to 0-5 at the interval.
It took Galway almost 13 minutes to get their first score, a point from a free on the left wing from Shane Walsh which tied the scores after Jack McCarron got Monaghan off the mark with a fifth minute free.
Paul Conroy edged the Tribesmen in front with a fine effort from distance after 16 minutes but they struggled to break down Monaghan’s packed rearguard with the visitors often having all 15 men inside their own half when Galway were in possession.
And with Monaghan, who started Joel Wilson instead of Conor McManus, superb on the counter-attack they picked off the next three scores with Micheal Bannigan levelling with a free before they opened up a 0-4 to 0-2 lead after 26 minutes with efforts from Gary Mohan and Stephen O’Hanlon.
Galway’s plight deepened when Walsh limped off but after Matthew Tierney and Bannigan exchanged points, the Tribesmen finished the half strongly with points from Rob Finnerty, Tierney and Conroy to lead by the minimum at the break.
McCarron levelled the sides for the fourth time after 40 minutes after a sustained period of possession by Galway failed to yield even a shot at goal.
Galway drafted in Damien Comer to a big cheer in the home following of 6,768 but it was veteran Conroy who edged them in front with his third point of the game after 43 minutes.
Finnerty and McCarron exchanged pointed frees as Monaghan brought in McManus to their attack, before Conor McCarthy went forward and landed a superb point from the left to tie the sides again after 50 minutes.
Finnerty and John Maher pushed Galway two clear before they enjoyed a huge let-off when Michael Hamill and McCarthy set up Barry McBennett but he blasted the ball off the crossbar from close range.
Galway cleared their lines and two more frees from Finnerty pushed them four clear with 12 minutes remaining.
Comer’s first touch of the ball, nine minutes after coming on, saw him kick a fine point to make it 0-13 to 0-8 as the game slipped away from Monaghan and Galway started to turn their attention to next weekend’s All-Ireland quarter-final as Sean Kelly and Finnerty were called ashore.
Two late frees from McManus ensured a nervous final play for Galway but they were never threatened as the Monaghan challenge fizzled out.
: R Finnerty 0-5 (0-3f), P Conroy 0-3, M Tierney 0-2f, S Walsh 0-1f, J Maher 0-1, D Comer 0-1, L O’Conghaile 0-1.
: J McCarron 0-3 (0-2f), S O’Hanlon 0-2, M Bannigan 0-2 (0-1f) C McManus 0-2f, G Mohan 0-1, C McCarthy 0-1.
: C Gleeson; J Glynn, S Fitzgerald, S Mulkerrin; J McGrath, L Silke, D McHugh; P Conroy, M Tierney; C Darcy, S Kelly, C McDaid; R Finnerty, S Walsh, J Maher.Subs: L Ó’Conghaile for Walsh (26), D Comer for Darcy (41), J Heaney for McDaid (65), C Hernon for Kelly (68), D Ó’Flaherty for Finnerty (70).
R Beggan; K Lavelle, R O’Toole, R Wylie; J Irwin, R McAnespie, C McCarthy; G Mohan, J Wilson; M Hamill, M Bannigan, B McBennett; A Woods, J McCarron, S O’Hanlon. Subs: T McPhillips for McAnespie (28), C McManus for Mohan (45), M McCarville for Wilson (53), C McNulty for McCarron (58), S Jones for Hamill (68).
: S Lonergan (Tipperary).