The hill next to No. 1 Court at Wimbledon, formerly known as Henman Hill and also referred to as Murray Mound, was a coveted spot for Day 3 at the All England Club because Konta and Andy Murray were scheduled to play their second-round matches on Centre Court.
It was the Croatian who drew first blood when she took command of the set at 5-3, but after saving two set points, Konta broke back on the way to forcing a tiebreaker.
Konta said after the win: "I think I competed really well".
"Quite honestly, I think I played a little bit better than in Paris". The world No.7 warned: "She's a very good player".
Fognini, the 28th seed, is trying to reach the last 16 at Wimbledon for the first time. Petchey obviously knows Konta's game well from his many years being around the Tour, as player, coach and commentator, and has alerted his new and temporary student to the size of her assignment.
Watson has spent much of the a year ago without a regular coach and credits Phillips and Colin Beecher, who she began working with at the start of the clay season, for helping her turn things around. I can win, for sure. This time, she fended off a pair of break points with big serves to consolidate - and rode the lead to the end of the set to take the match into a decider.
GETTY Benoit Paire struggled to break down Andy Murray after a close first set
She then secured a break chasing a lost cause on the baseline that a player half her age would have struggled to reach, forcing the error from Osaka. "I'm never really satisfied until it's done". "He served well every set".
Robson said: "I just didn't feel like I played my best tennis at all".
Watson, who will next face Victoria Azarenka, is determined to avoid a repeat of her third-round exits of 2012 and 2015, when she nearly put out Serena Williams.
Having won his 10th French Open crown without dropping a set last month, fourth seed Nadal has made the switch from clay to grass with such ease that his title rivals might be getting a little anxious. "She's definitely playing with confidence in the slams", Konta said.
Rafa Nadal and Venus Williams are also in action on day five.
This time, in the mixed doubles, Watson teamed up with Henri Kontinen to begin the defence of their title with a 6-3 6-4 win over Azarenka and Nenad Zimonjic.
No one could question the players' commitment in what was an nearly gladiatorial contest; Konta's roar and Vekic's tears after the final point speaking volumes about what they had been through.