European No.1 Tommy Fleetwood, who was paired with Paul Casey, claimed a 4 & 3 victory over Byeong Hun An and Kiradech Aphibarnrat.
Bjorn is also the Ryder Cup captain, and the match play tournament here is a great chance for him to test players in a team environment before the showdown against United States of America in Paris.
Asia bucked the odds and led defending champion Europe 3 1/2 to 2 1/2 after the opening day of the EurAsia Cup on Friday.
But, after both teams had traded birdies at 16, the Europeans could not match Li's gallant birdie on the final green which clinched a valuable half-point for Atwal's side and ensured a one-point lead to take into Saturday's six foursomes matches.
That was exactly the start Casey was looking for as he made his return to the European team fold after a 10-year absence.More news: Judge Loya's mystery death must be thoroughly investigated: Rahul Gandhi
"I'm ecstatic to get this going and get a point because it's going to be a tough week".
Paul Casey insisted Europe were not guilty of complacency after losing the opening session of the third EurAsia Cup at Glenmarie Golf & Country Club.
English pair Ross Fisher and Tyrrell Hatton clawed back some ground for Team Europe with a win over Anirban Lahiri and S.S.P Chawrasia, before Japan's Hideto Tanihara and Thailand's Phachara Khongwatmai scored a two-hole triumph over Sweden's Alex Noren and Ireland's Paul Dunne.
There was another shock in store for Bjorn in match four as Henrik Stenson and Alex Levy suffered a resounding 5&4 defeat to young rookies Sunghoon Kang and Poom Saksansin. The European duo battled back from 2 down to stand on the 18th tee 1 up.
The first day looked destined to finish with the teams all-square when Rafa Cabrera Bello carded three birdies and an eagle in the space of five holes on the back nine to take the Spaniard and Bernd Wiesberger into the lead against Li and Nicholas Fung.More news: Taking Tally Of The Mosaic Company (MOS), Immune Design Corp. (IMDZ)
"I suspect that we'll go out tomorrow and be ready to play, and foursomes is a very different game", Bjorn said.
"You can do all the preparation and put everything in place, but it's for them to go and play the golf".
"There was some unbelievable golf from a couple of the Asian pairings", Bjorn said. The rust had been knocked off the golf swings in practice and maybe the competitive rust might have needed to be knocked off today.
"We are looking forward to the challenge ahead, but we are in a position where we feel like we knew we could find ourselves in, and we knew this Asian team is very strong and very much ready to play".
He better hope so, or his Ryder Cup dress rehearsal could be a complete a flop.More news: House renews surveillance law after Trump posts differing tweets