The Celta captain opened the scoring from Nolito's pass after 15 minutes in an entertaining match which saw Celta play some impressive football.
His son, Papa Massata Diack, a former IAAF marketing consultant, was sentenced to five years in prison and fined one million euros. The younger Diack, who is wanted on an Interpol red notice, remains in Senegal.
Kurt Zouma completed the scoring on 66 minutes, as his low shot from a corner was deflected past the unfortunate Ryan.
The hero of the night became the home team's Moldavian striker Ion Nicolaescu who tied the game five minutes before the end of regulation on his debut and then put Dunajska Streda ahead 4-3 six minutes into overtime with a quick and un-saveable shot from the edge of the box.
Al-Taawoun lost its last match to Iran's Persepolis 1-0 on Tuesday, but is still atop of Group C with six points from three matches.
Thiago began his career at FC Barcelona, progressing through the youth system with his brother Rafinha, and said one reason he joined Liverpool was that it had a "family" feeling.
As expected, Barcelona star Lionel Messi heads the list, with Juventus forward Paulo Dybala and Inter Milan striker Lautaro Martinez also included.
Streaming service PP Sports, owned by Chinese retail conglomerate Suning, had a reported 700 million U.S. dollars deal for the rights to show all Premier League matches on the Chinese mainland and Macao from 2019 to 2022.
In another match of group C, Persepolis FC edged Al Taawoun 1-0 as the Iraqi midfielder Bashar Resan scored the match's only goal from the penalty spot to take Iranian side to the top of the group with seven points.
"We are waiting for what the Ministry of Health and the president are going to say about sporting activity and give us direction and that is what we are going to do as to when football activity is starting and when there is a continuation of the league," he added.
The big game on Sunday sees Real Madrid make their league debut away to Real Sociedad and it will be interesting to see how Zinedine Zidane's side perform and whether Martin Odegaard, who returns after a successful season on loan in San Sebastian, plays a part in the game.