Zambian forward Fashion Sakala scored his 18th goal of the season on Friday in the Saudi Pro League.
The 27 year old scored from the spot kick to give Al Feiha a 1-0 lead in the 42nd minute.
Solan found an equaliser for Damac in the 79th minute.
Al Feiha and Damac are 7th and 10th on the log with 43 and 42 points respectively.
Al Hilal won the league last week with a point tally of 90 while second placed Al Nassr have 73 points.
There are rounds of matches remaining in the league.