The result means Rafa Benitez's side are sixth in Group A, three points off the fourth place, while Shanghai Shenhua slip to the fifth position in the group on goal difference. Both teams have chances to advance to the championship group for the second stage of Chinese Super League with five games remaining.
Castagne opened the scoring with a 56th minute header and Vardy scored in the 74th and 84th minutes with both goals coming from the penalty spot - the first after he had been pulled back in the West Brom area.
The match was delayed for half an hour because of heavy rain. As the match was going for a goalless draw in the first half, Shanghai broke the deadlock in the stoppage time with a volley shot from Austrian striker Marko Arnautovic. After repeated checking by VAR, the referee finally rewarded the goal to Shanghai.
Real Sociedad were disappointed to lose Odegaard to Real Madrid but have done well to sign veteran David Silva and their youth system can be relied on to provide a string of impressive local talent.
He played for Maccabi Tel Aviv, Dinamo Zagreb, Krylya Sovetov Samara and other teams in Europe.
Nunes, who resigned from Athletico Parananense to take charge of Corinthians last November, led the Sao Paulo-based outfit to 10 wins, 10 draws and eight defeats.
Elsewhere, Bayer Leverkusen cruised into the next round as Nadiem Amiri's brace rounded off the 7-0 goal fest against Eintracht Norderstedt.
"I'm 23 years old. I don't think it's my last chance. I do believe that I will be a Grand Slam champion at some point," he added. Enditem
Hoeness indicated Bayern is ready to go the hard way and keep both performers, risking to lose them after this season without a transfer fee. Bayern is demanding 30 million euros for Thiago.
Qingdao pulled one back in the 85th minute with an overhead kick from French midfielder Romain Alessandrini.
"A few of the players gave me the games and I didn't have to work that hard to get over the line," Trump told the World Snooker Tour website.