Coulter made his League debut in a 1–1 draw against Portsmouth in April 1934, and although his spell at Goodison Park coincided with a lull in fortunes after the successes of the early–thirties, he was a popular addition to the Everton squad.
He will no doubt be best remembered by the Goodison faithful for his hat-trick in a 6–4 FA Cup fourth round replay defeat of Sunderland, a match regarded as one of the best in the ground's history.
He added further caps to his collection while with Everton too, scoring the winner in his first international match since his move to England against Scotland in October 1934.
Four months later he starred in one of Ireland's best performances of the time, only to see his penalty - that would have put the Irish into a 2–1 lead - crash against the crossbar.
Cliff Bastin later seized upon an under-hit pass by Irish captain Bertie Fulton to give England a 2–1 victory.