The first-half produced little in terms of chances, with Jermain Defoe looking the most threatening player on the pitch.
After just four minutes the England international broke into the Liverpool box following some sloppy defending, but failed to keep his shot down from close-range.
His second opening, after 11 minutes, was far more difficult and potentially spectacular.
Edgar Davids, employed on the left to make room for new signing Jermaine Jenas in the middle, slipped a pass to Defoe on the corner of the box and when Jamie Carragher backed off, he unleashed a ferocious shot across Jose Reina but just wide of the post.
Defoe did manage to put the ball in the net after 32 minutes, only to see the referee's assistant raise his flag for offside.
His new strike-partner Grzegorz Rasiak, a late deadline day signing from Derby, also had a goal ruled out 15 minutes into the second half when he rose to head in from a corner, but was adjudged to have fouled the defender.
Besides that, the tall Pole looked less than inspiring as he struggled in the air, despite his height, and was constantly out-muscled on the floor.
Yet, he could have netted a legitimate debut goal in the first half when a low Davids free-kick was blocked by Reina and fell on to Rasiak's head, but the ball could only find the crossbar.
Perhaps if it was Defoe on the end of the best chance of the half, Spurs may have gone in with the lead at the break.
Nevertheless, Tottenham's other debutants looked promising with South Korean international Lee Young-Pyo, signed from PSV Eindhoven, showing he could be an asset going forward from his left-back position with some adventurous runs, while former Newcastle United star Jenas created some interesting openings from midfield.
Jenas could have also capped his bow with a goal midway through the first half, had he not hesitated when Defoe had played a high ball into the box, with the goal at his mercy.
Liverpool had there own crossbar drama shortly after the restart when a Steven Gerrard corner was headed out only as far as John Arne-Riise, who let fly with a ferocious volley from outside the box which hit the underside of the bar but somehow stayed out.
The visitors appeared more of a threat in the second half with the increasingly slippery surface, due to the rain, seeming to suit their game.
Djibril Cisse, who had some wild and pointless efforts on goal in the first half, forced Paul Robinson to punch clear with a shot from distance, while Riise had a difficult low drive which gathered momentum on the slippery surface pushed away by the England custodian.
Man of the Match: Michael Carrick
The former West Ham star showed why he should have been in England's starting line-up against Northern Ireland. He produced a quietly effective performance in the heart of the Tottenham midfield, shielding the defence and keeping hold of possession.