Boitumelo Radiopane netted the only goal in the final minutes of the match after coming off the bench.
It was a return to winning ways for Abdeslam Ouaddou after his side lost 3-2 loss to Al-Ittihad in their last friendly match as part of their tour to Spain.
Ouaddou made a number of changes from that tie, with a number of fringe players getting the nod ahead of the more tried and tested.
Pirates came close to taking an early lead after just six minutes but Yanela Mbuthuma could only fire straight at Las Palmas goalkeeper Jose Antonio Caro.
Manu Fuster then fired wide of Siyabonga Dladla in the Pirates goal, while Elias Romero was off target after 21 minutes after stealing the ball off the foot of the young shotstopper.
Ghampani Lungu hit the side-netting with his shot on 35 minutes while Cemrin Dansin was thwarted by an onrushing Caro as he raced through on goal.
Daniel Msendami hit the crossbar just minutes before the half-time break and rattled the woodwork again on 65 minutes with a chip that beat the goalkeeper.
Taisei Miyashiro also had a shot hit the frame of the goal, in the 84th minute as both teams looked for a winner.
And it was the Betway Premiership Champions who made the most of a late opportunity as Radiopane spotted the goalkeeper off his line and passed into an empty net.
The Buccaneers complete their Spain trip with a game against Neom SC on Friday 24 July.
Orlando Pirates coach Abdeslam Ouaddou has stressed that his side need to work on their defensive organisation after a 3-2 pre-season defeat to Saudi Pro League side Al Ittihad.
Orlando Pirates lost 3-2 to Saudi Arabia's Al-Ittihad in their third pre-season friendly on Tuesday evening.
Orlando Pirates head coach Abdeslam Ouaddou believes his squad is beginning to develop the togetherness and identity he wants after an encouraging start to their pre-season training camp in Spain.
Orlando Pirates recorded a come-from-behind 2-1 win over Cadiz in their second pre-season friendly.
