Steven Pressley looks set to continue as Falkirk manager despite failing to secure the Clydesdale Bank Premier League survival he had guaranteed when he took charge in February.
Falkirk threw men forward at Rugby Park in a bid to snatch the victory they required to stay up and send Kilmarnock down but Ryan Flynn missed the best chance of the goalless encounter when he volleyed over from 10 yards in the 88th minute.
Pressley had always insisted Falkirk would not go down, but chairman Martin Ritchie said: "The board are really behind Steven and the team, they put everything into it. Steven came in and gave the whole club a lift. The club have asked Steven if he will stay on as head coach going into the new season."
Pressley will now look to sort out his future in the coming days.
"I have loved the job," he said. "Obviously there are a couple of things we need to discuss but I have thoroughly enjoyed this job and hopefully we can get things sorted out in the next couple of days."
An emotional Pressley added: "I have said time and time again that this group of players have given me everything since I took over.
"We came up a little bit short but certainly not on desire, commitment and effort. I have nothing but praise for the players.
"It was an emotional dressing room, there were tears in there, we are a very, very close team."