The Catalans, who were reduced to 10 men following Frenkie de Jong’s second yellow card, almost snatched the win late when Memphis Depay shot wide.
The draw, however, means Barca have only nine points from five games, sitting seventh in La Liga albeit with a game on hand on the sides above them.
The result was not what Koeman needed as simmering tension remains with Laporta.
“You have to analyse what the team has done, their attitude, their dedication,” Koeman told reporters.
“I don’t want to analyse my personal situation. The president has gone to the hotel and said goodbye.
“We probably have more days to talk if he wants to talk.”
The Dutchman was sent off late for protesting to the referee and laughed at the decision along with de Jong’s red card for a late tackle.
“In this country you get sent off for nothing,” Koeman said.
“Everyone has seen that there were two balls on the field. This speaks for itself. It was not due to nervousness.
“I have told the fourth official that there were two balls. But here they expel you for nothing.”
Elsewhere on Thursday in La Liga, third-placed Real Sociedad won 3-2 at Granada, while Real Betis beat Osasuna 3-1.