Bjorn already had eight men in his squad for the Ryder Cup, which takes place in France later this month.
With the USA announcing all but one of their players on Tuesday night, it was Bjorn’s turn to unveil his picks.
Paul Casey and Sergio Garcia were the first of the four announced.
And some fans on Twitter were not happy with the Garcia selection following a torrid season for the Spaniard.
“What a ridiculous pick Sergio Garcia is! May as well pick Lee Westwood and Luke Donald whilst he’s at it,” one fan wrote.
“Casey and Garcia the first two picks. Shocking decision IMO,” another said on Twitter.
Another said: “I don’t get the Garcia pick, he’s a form player, and he’s certainly not in form…”
And a fourth put: “I’m not surprised Sergio Garcia has been picked for the Ryder Cup but it’s a bad pick. He hasn’t played well for a year. Name recognition over form unfortunately.”
Ian Poulter and Henrik Stenson were the other two names to join Team Europe.
Poulter has enjoyed plenty of success in previous Ryder Cups.
And fans largely welcomed the Englishman onto the roster.
One fan wrote: “#TeamEurope is shaping up!! Not shocking at all that Poulter got the the call.”
Another put: “Ryder Cup isn’t the Ryder cup without poulter”
And a third tweeted: “Casey, Garcia, Poulter and Stenson. 4 top quality picks that will fight with every shot. Can’t complain one bit!”
The Ryder Cup takes place between 28-30 September this year on the Le Golf National course in Saint-Quentin-en-Yvelines, France.
Jim Furyk’s USA are defending title holders after winning the 2016 Ryder Cup 17-11.
Team Europe: Justin Rose, Francesco Molinari, Tyrrell Hatton, Tommy Fleetwood, Jon Rahm, Rory McIlroy, Alex Noren, Thorbjorn Olesen, Paul Casey, Sergio Garcia, Ian Poulter, Henrik Stenson.