A packed De Kuip stadium saw coach Marco van Basten start out with the side which had drawn its last outing against Denmark before the 1988 champion elected to make half a dozen changes after the break.
With the Dutch facing France, Italy and Romania in the finals, Van Basten was keen to sift through his options against a defensive Welsh line-up bent on affording maximum protection to keeper Wayne Hennessey with Freddy Eastwood the lone visiting attacker.
A Sneijder free kick on the quarter hour brought a fine stop from Hennessey but he could do nothing to stop Robben firing home ten minutes before the interval for his ninth international goal after a fine run which began with Carl Robinson's misplaced header.
Former Chelsea man Robben was having a field day on the left but Sneijder bagged the limelight for himself with a deft freekick from 20 metres nine minutes after the restart.
John Toshack's inexperienced side had come to the Netherands on the back of three straight wins, but the Dutch were a class above anything they have recently faced and duly made it six wins in as many meetings between the nations.
The win before a crowd of 50,000 was a boost for a Dutch camp jolted by Saturday's news that young Liverpool star Ryan Babel will miss EURO 2008 with a suspected ruptured right Achilles' tendon.
The Netherlands open their EURO 2008 campaign against Italy on June 9 and will play France four days later before finishing up with the Romanians.