- With Jamie Baker, lost in first round 6-4 7-5 6-2 to David Marrero & Andreas Seppi
- With Eugenie Bouchard lost in first round 7-5 6-4 to Frederik Nielsen & Sofia Arvidsson
- In quarter-finals
- With Frederico Ferreira Silva beat Daniel Windahl & Elias Ymer 7-5 4-6 6-3 in first round
They beat unseeded Swedish pair Daniel Windahl and Elias Ymer 7-5 4-6 6-3.
The 18-year-old told BBC Look North: "I'm pleased I came through in the singles today. It wasn't a nice situation playing Jonny, who I know very well and he's a good friend but importantly I got the win and I'm through to the next round."
It was O'Mara who had the early chances to make inroads in the singles match, taking Edmund to deuce in his second service game and having a break point which he failed to take in the next.
The pair shared several baseline rallies but, as the sun came out, Edmund's fortunes changed as a double fault from the Scottish qualifier on his first break point of the match enabled him to move into a 5-3 lead.
Yorkshire's Edmund then served out to love to take the set in 28 minutes.
The fifth seed cemented his advantage by breaking in the third game of the second set after O'Mara had become slightly unsettled when a line call went against him.
Edmund broke again to lead 4-1 before O'Mara fell near the net as he raced in to try to reach a drop shot from his opponent.
He lay on the ground for a short while and Edmund leaned over to check on his condition before O'Mara got to his feet and, holding his left side, moved gingerly back towards the baseline.
Edmund won that game but O'Mara overcame the pain and served out his next game to love.
O'Mara driven to SW19 by Edmund
However it only delayed the inevitable and four points later Edmund had wrapped up the second set in just 20 minutes to earn a place in the last eight.
Edmund has been driving O'Mara into the All England Club together from their base at the National Tennis Centre in Roehampton.
He had jokingly threatened that on the day of the game he would not give a lift to O'Mara, who told BBC Scotland: "He drove me here today. He went straight there though he didn't drop me off somewhere in Birmingham or anything!"
O'Mara, who later lost his doubles match with Croatia's Borna Coric, admitted Edmund had deserved to win, adding: "It was close in the first set, there wasn't much between us and then in the second set he was far too good and there was not much I could do."
The 18-year-old is now moving up to senior tennis from the junior circuit and said: "It's easy enough saying you want to play Wimbledon, you want to play on Centre Court, really what it gets down to is I want to make a living playing this sport.
"That doesn't just mean performing at Wimbledon, it means performing throughout the whole of the year so that's my goal."
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