After 29 minutes Rommedahl teased the home defence and pulled the ball back for Hasselbaink but his low shot lacked direction and was comfortably saved by AnttiNiemi.
The Frenchman was quick to react to Pascal Chimbonda's knock-back and he crashed a superb volley against the post with AnttiNiemi beaten, Keane tapping in the rebound.
Until, that is, Arsenal went wide as Hleb floated over a pin-point cross from the right for Adebayor to power home a header past a helpless AnttiNiemi.