Advocaat staged the talks last Sunday following defeats in the Black Cats' opening two matches, and saw his players hold Swansea City to a 1-1 draw on Saturday, with Jermain Defoe cancelling out Bafetimbi Gomis' opener.
The Dutchman believes his side could have taken all three points had they been awarded a penalty for an alleged handball by Ashley Williams, but remained satisfied with simply getting off the mark for the 2015-16 season.
"Against a very good side - I think Swansea are a good team with good players - the way we played with the spirit that we showed last year, you can see that you can get results," Advocaat told reporters.
"There was a little bit of luck, if the referee had given a penalty, but I can live with 1-1 to be fair to Swansea as well.
"They responded very well [to the meeting], straight from the beginning in the dressing room.
"We told them already last week that, if you can do what you did last season - the work-rate, the spirit in the team... and get the crowd behind you - you can see what you can do in home games.
"You could see that Swansea had the better players but hopefully at the end we can do a little bit the same."