Halep will provide an altogether different test to the more aggressive Garcia, who was unable to prevent Konta becoming the first British female to reach the last eight since Jo Durie in 1984.
"It was a very close match", Konta said.
"I think they were a little bit overenthusiastic in parts", she added. "This is really fantastic".
Williams' quarter-final opponent, Latvia's Jelena Ostapenko, was just 11 when Venus won the last of her five Wimbledon titles in 2008.
"I don't know what can I say to you?" Now I'm really happy.
Somehow, at age 37, she's done that. The first of her trophies at the grass-court tournament came in 2000. The 26-year-old maintained she was not playing against a crowd (indeed, it will be on her side this time around) or a past experience, but another tennis player - and a top one at that.
"The first one was 20 years ago?" With a wide open country in her eyes and romantic dreams in her head.
This is not exactly new, though.
The third and fourth round have been particularly impressive though. Her best result so far is reaching the semis of the Australian Open past year.
Her solidness from the baseline, her sturdy game revealed all the mental improvements she experienced in the last couple of season thanks to her mental coach Juan Coto, died last November.
But just when it seemed that it may be all over for Konta, she turned up the heat and reeled off the next three points, the last with a fine backhand.
Williams revealed in 2011 that she was diagnosed with Sjogren's syndrome, which can sap energy and cause joint pain. "Hopefully she keeps going the next few days".
"I think I'm playing, I guess, with the mindset of just trying to get better, like I have done every other match I've played in my career, every other tournament I've played as well". "That's all I felt like". "I'm excited to share the court with her again".
Inspired by her coach Pat Cash's celebrations of the 30th anniversary of his Wimbledon title, American 24th seed Coco Vandeweghe is targeting her first Wimbledon semi-final.
Halep turned pro in 2006, broke into the top 50 world ranking in 2012, and made the top 10 world ranking in 2014.
"I didn't have an emotional match with her". She may never have a better chance here. "I'm unable to because I am playing an incredibly tough opponent, who is playing very well right now". "She's very much in form and playing very, very well, she'll definitely challenge me".
Tennis heavyweights Roger Federer, Novak Djokovic and Rafael Nadal are among those battling for a place in the men's singles quarter-finals.