"I don't want to comment about that match but I'm sorry if she felt bad", said Halep, who is unlikely to find the genteel Wimbledon crowd similar to the braying mob they last played in front of.
There was very little between the two players as Garcia, ranked No21 in the world, matched Konta's impressive power in rallies and on serve throughout.
"I just kept on trying to get some momentum and some points under my belt".
But ultimately it was the French star who gaffed at the worst time for Konta to prevail and set up a clash tomorrow with either Simone Halep or Victoria Azarenka. "There was very little between us today".
"It's a bit breezy out there which made it hard for both of us but overall I'm just glad I managed to get returns in".
Konta described it as "pretty special" to match Durie's feat but she will justifiably now have another long-standing record in her sights, that of Virginia Wade - the last British woman to win Wimbledon in 1977.
Konta had previously not made it past the second round at the London Grand Slam prior to 2017.
"I'm not thinking about the ranking because I was in that situation one more time", she said.
There was a slight blip when serving for the set at 5-1 as Azarenka earned a break back, but it only delayed what had always been an inevitable Halep win as once again the former world number one contrived to cough up cheap points on serve and, with it, the match.
Konta, serving for the set, saved two break points and then squandered a set point of her own, but her frustration grew moments later when Garcia clinched the game with a successful challenge.
It wasn't one-sided but when the match got tight, Konta seemed to channel her focus.
Halep toiled in her first service game and when she sent the ball sailing long Azarenka held a 2-0 lead, only for the Belarusian to hand the break straight back.