The 26-year-old had never cleared the second hurdle at her home grand slam before, but admitted drawing strength from spectators on Wimbledon's biggest stage as she eventually out-fought Vekic. This is Wimbledon and the opening round.
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Among the men, Kei Nishikori, the No. 9 seed, was eliminated by Roberto Bautista Agut, 6-4, 7-6 (3), 3-6, 6-3. So I'd like to think that physically I'm prepared. It was a tough time on my return game.
"Just a bit overwhelmed with nerves when I first got out there, then tried to play too ideal when really I didn't need to go for so much".
However, world number one Murray was not caught out by his extrovert drop shots, racing to a ruthless 6-3, 6-2, 6-2 victory on Center Court.
She pushed two-time major champion Azarenka, who is playing her first Slam since giving birth in December, all the way before losing her serve at 4-4 in the final set as the Belarusian saw out victory.
"Getting back into the top 100 was one of my goals by the end of grass-court season".
Sixth seed Konta dominated Sakkari, her 21-year-old Greek opponent who is coached by Sky Sports' Mark Petchey.
"As long as I got on the board to start, then I could relax", Brengle said with a smile, "because, trust me, an "O-and-O" stays with you". "I'm not on a cloud nine for making it to the second week, but I do appreciate everything that I have been able to achieve right now, and I don't take anything for granted", said new mum Azarenka. "There's obviously other things that come along with performing well on any day, but I think if I can be involved in many epic battles, I'm sure the crowd will also enjoy that".
Medvedev, an unseeded Russian who beat Stan Wawrinka in the first round, lost to Ruben Bemelmans 6-4, 6-2, 3-6, 2-6, 6-3 in the second round.
Croatian seventh seed Cilic will bid for a fourth successive Wimbledon quarter-final berth when he takes on Bautista Agut.
Fognini is expected to put up more of a challenge than Murray's opponent in the previous round.
The Scot hopes to become the first Briton to successfully defend a Grand Slam title since Fred Perry at Wimbledon from 1934-1936.
"Jo is top 10 in the world, she's British and looking to get into the second week for the first time here".
The last time four British players made it that far was in 1997.
Gilles Muller won a gruelling five-set encounter with Czech qualifier Lukas Rosol.