Kone has suggested on Twitter that Sunderland deserved to win and has expressed his delight at keeping a clean sheet.
The Ivory Coast international has also appeared to mock West Brom winger James McClean, who has hit back at him on Twitter.
We deserved better (again) yesterday. But we finally did a clean sheet.— Lamine Koné (@LamineKone_23) April 3, 2016
By the way, who is James McClean? pic.twitter.com/rAbjC8Yg5G
The draw with West Brom means that Sunderland remain third from bottom in the Premier League table and are in danger of getting relegated to the Championship at the end of the season.
Sam Allardyce’s side are four points behind 17th-placed Norwich City, who have played a game more.
Sunderland have become defensively stronger under Allardyce and are creating chances, but they are struggling to score goals.
The Black Cats will return to action next weekend when they take on Leicester City at the Stadium of Light in the Premier League.