The Slovenian-born Bedene, who represents Great Britain, had never progressed beyond the second round at a major tournament until Roland Garros.
The 26-year-old, ranked 55 in the world, was beaten in the third round by world number one Novak Djokovic but had beaten clay-court specialist Pablo Carreno Busta in the second round.
A first ever meeting with Andy Murray followed at Queen's Club after knocking out world number 23 Benoit Paire in round one and he will look to improve on a record of one win from his four visits to the main Wimbledon draw.
That victory came last year where he was beaten by Viktor Troicki after beating Radek Stepanek for his first ever victory at the All-England Club.
Bedene suffered a swift exit in the Australian Open as he was beaten in the first round by Steve Johnson, before reaching the final of the Dallas Irving Classic challenger event where he lost to Marcel Granollers.
Another Spaniard, Roberto Bautista Agut, put him out of the Miami Open in the second round before a third, Rafael Nadal, ended his run at the Monte-Carlo Rolex Masters.
Karen Khachanov accounted for him in consecutive events, the Barcelona Open and Istanbul Open, before he qualified for the main draw of the Rome Masters and lost to Frenchman Stephane Robert in two tie breaks.