Manuel Lanzini opened the scoring after half an hour with a delightful strike before the Hammers’ nemesis Romelu Lukaku equalised just before the interval for the Toffees with an accomplished finish.
Bilic said, although Lukaku’s goal was a gift to Roberto Martinez’s men, the West Ham team had recovered well from the Watford defeat last week.
Bilic said: “I am really happy how we played. It was good to put in a solid performance against a big club and good football team in the shape of Everton. We’re not happy that we don’t win especially at home but I can’t be unhappy with the way we played and it was a good game of football.
“Everton deserved the point and deserved something from this game. Maybe we were a little bit closer to the win but it was a fair result in the end. After going ahead in the first half we conceded the equaliser cheaply.”
During the close encounter, the hosts were dealt a blow as midfielder Dimitri Payet – arguably West Ham’s best player so far this season – and substitute Enner Valencia were forced off with injuries.
Bilic confirmed that it might be some time before Valencia returned after a recurrence of the same injury that ruled him out for the first three months of the season.
“I’ve been involved in the game long enough to not listen to the first opinions,” said the 46-year-old manager. “Almost every time they’re totally different. We have to wait for the scans on both Payet and Valencia to see whether it will be short term or long term. Valencia has now damaged both ankles and it doesn’t look good for him – but as I said I am hoping they’re alright and I am optimistic they’re going to be fit shortly.”
With a slight blip in form for the Upton Park outfit – no wins in two games – West Ham will be looking to get back on winning terms after the international break when they travel to White Hart Lane to face London rivals Tottenham Hotspur. Bilic said he was hoping both his injured players would be in contention for a place.