We felt hard done by says Ole.
Peter Whittingham's 50th-minute spot-kick cancelled out a Marko Arnautovic strike - the first penalty Cardiff have conceded this season - that was converted during the dying seconds of an opening 45 minutes the hosts shaded with regards to possession and territory.
It appeared to be a harsh decision by referee Howard Webb, who punished Kim for his challenge on former Cardiff player Peter Odemwingie, while the Bluebirds also saw a later Juan Cala effort ruled out for offside.
"I felt what I felt at the time, that it was not a penalty, but I accept that Howard has got to make a decision there and then," Solskjaer said.
"For us, it galvanised everyone in the dressing room.
"We felt hard done by."