The 26-year-old Konta, seeded No.6, left her best to the last as she committed just two unforced errors, fired four aces and won 79 per cent of first serve points and 83 per cent of second serve points in the third set, reports Efe.
Not since Jo Durie in 1984 had a female player from these shores made it into the last eight at SW19. "She's top 10", Halep said after denying Victoria Azarenka a quarter-final berth in the former world No.1's return to grand slam tennis after becoming a mother last December.
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.
"It was such a tough match to play", said Konta.
"I'm going to need one match".
Konta has neither forgiven nor forgotten Halep's team-mate Sorana Cirstea, who was outspoken in her criticism of the British number one, after their tie was suspended when Nastase unleashed a torrent of abusive language and stoked up the home crowd.
The error helped Konta grab the break but Garcia soon found her range and by the end of the set it was the Frenchwoman cranking up the pressure.
But Halep isn't going to let herself be distracted by thoughts of moving into first place because she would rather win a maiden Grand Slam title at the All England Club.
"It's those positions that I dream off, dreamt off when I was a little girl". "Again, that's an umpire's duty to, I guess, be aware of things like that". I tried to really just knuckle down on every single point I could.