The sixth seed was beaten by Vekic in the Nottingham Open final last month, but gained revenge in a titanic tussle which lasted three hours and 10 minutes.
"I'm much taking it one match at a time ― but definitely working towards staying involved for a full two weeks", she said after her 6-4 6-1 third-round victory over Sakkari.
She coped ably enough with that yesterday, overpowering the tenacious but inexperienced Maria Sakkari of Greece 6-4, 6-1 but, as is Konta's way, she is not thinking about pressure. "And the crowd are what also make that special for me, their support for us", Konta said. He secured a thrilling 7-5, 6-7 (7), 4-6, 6-3, 9-7 win.
Johanna Konta made good of the rest and did what she had to do.
Former world No 1 Azarenka, playing her first Grand Slam tournament since giving birth to first child Leo in December, knocked out Russian 15th seed Elena Vesnina. "I think I showed that today", she told reporters.
It was a long, arduous three-set win for the 26-year-old. "I'm really looking forward to that".
Naomi Osaka bt Barbora Strycova (x22) 6-1, 0-6, 6-4.
She said: "I think the reputation of tennis is slowly changing here".
While little went her way in the second set, Watson again found her range in the third as she snapped back from being broken in the seventh game by drawing level at 4-4.
"I competed really well", Konta said.
It was quite odd coming on court soon after a horrific fall while playing her semifinal with Angelique Kerber.
Murray took the third, but an often tetchy match became seriously heated in the fourth when Fognini was docked a point for a visible obscenity - he put a finger in his mouth. I just feel that it's sometimes an unfair comment, because we see a lot of players - I'm not going to name who - having conversations with their boxes.
Mattek-Sands fell and clutched at her knee, then began sobbing and screaming for help, in the third set's opening game of her second-round singles match Thursday.
"I was trying to, but he's too quick", said Bedene, who is from Britain.
"But it doesn't make a difference to how I feel and how I prepare for my own matches".
"Yeah I did fall at the final hurdle, but I felt confident and fought as hard as I could for every single point".