Gagli and Bourdy led by two from Finn Mikko Ilonen and Scotland’s Gary Orr, with Singh amongst the later starters.
Meanwhile Rory McIlroy made just the start he was hoping for after resuming in joint 53rd place.
Birdies at two of his first three holes lifted the World Number Two, who has missed four of his last five halfway cuts, up into a tie for 21st on four under par.
This is McIlroy's final tournament before The Open Championship in three weeks and he was back on the course where he shot an amazing record 61 as a 16 year old.
Open Champion Darren Clarke boosted his hopes of making a first cut of the season when he also birdied the long tenth - his first of the day - to improve to two under and when he added a two on the short 14th he stood in a share of 34th place on three under. The top 65 and ties go through to the final 36 holes.
McIlroy bogeyed the short 14th, but had his third birdie of the day two holes later and turned in a two under 34 – by then six behind.
Clarke's third birdie came on the 15th, but after a back-nine 33 he bogeyed the first to be three under and joint 38th.