"If you go back and look, he has always been 20-10 since he walked into the league," Suns coach Alvin Gentry said of Randolph. "He is just a determined guy. He came up with a couple of really big rebounds (in overtime). He just worked himself to get them."
The 10-point lead, reached on Conley's two free throws with 50.9 seconds left, was Memphis' largest of the game.
Memphis had a terrible time on offense in the first half. Phoenix was getting in the passing lanes and swatting balls away in the post. The result was Memphis committing 12 turnovers before the break.
No Suns were in double figures after the first half, but 10 players scored, four of them with eight points apiece.
Randolph had 16 points while Pondexter added 14, going 2 for 3 outside the arc. Their play at the end of the half made the deficit manageable.
Memphis tried to cut into the lead after halftime, but the Suns wouldn't relinquish the advantage. Phoenix continued its balanced scoring with Dragic running the show and scoring along with contributions from Scola and Dudley.
Gortat's jumper near the end of the third gave the Suns a 72-68 advantage entering the final period.
Phoenix held the lead between four and six points through much of the fourth, stretching it to eight at one point.
Memphis tied the game at 91 on Randolph's rebound basket.
Then a steal by Conley led to a clear-path foul on Scola. Conley made one of two free throws for a 92-91 lead with 1:10 left for Memphis' first lead since midway through the first quarter.
Scola's 11-foot hook shot gave the Suns the lead back at 93-92 with 37 seconds left.
In the overtime, Phoenix just never got anything going on the offensive end and missed all five of its shots in the extra period.
"We have to finish games," Gentry said. "We played great, but we have nothing to show for it."
Memphis, meanwhile realized they had not matched the Suns' play through most of the game, and the overtime gave them an opportunity to escape, using Randolph as the catalyst.
"They had given us everything they could and made a lot of shots and shot the ball very well," Conley said of the early play. "Eventually, it didn't fall for them, and we were able to get the ball inside to the big fella (Randolph), and let him take us home."
NOTES: Phoenix closed out a six-game road trip, its longest of the season, with a 1-5 record. ... Memphis is now 5-0 with at least two days' rest. ... The Suns have trailed by double digits in 15 of 19 games this season. ... O'Neal, who missed Sunday's game against the Knicks with a right quad strain, returned to action against the Grizzlies. ... It was Randolph's highest point total in a Grizzlies uniform and was the fourth 30-20 game of his career.