The 27-year-old Barcelona star's shot from an angle on 47 minutes in Jeddah came back off the far post before hitting Hassan Muath Fallatah for an own goal.
Suarez was replaced with 20 minutes to go but his hopes of a winning international return were ruined by Naif Hazazi's last-minute equaliser for the former Asian champions.
Although still serving a nine-match competitive international ban for sinking his teeth into Italy's Giorgio Chiellini at the World Cup, Suarez is allowed to play in friendlies.
But with only goalkeeper Waleed Abdullah to beat, he tried to dribble past the shot-stopper and was tackled.
"Happy to wear this shirt again, gives me so much joy. Love the shirt. Uruguay!!," tweeted Suarez after the match.
Asian champions Japan gave Javier Aguirre his first win with a laboured 1-0 victory over Jamaica while Australia struggled to a 0-0 draw in sweltering Abu Dhabi.
Japan, who like Australia are building towards the Asian Cup in January, squandered several chances against Jamaica in Niigata but an own goal from Nyron Nosworthy in the 16th minute proved decisive.
"I feel calm, relaxed as always. We created five or six more chances to score, which was pleasing," said Aguirre.
