Diomansy Kamara scored a dramatic late overhead kick to snatch an unlikely point against a wasteful Tottenham.
Diomansy Kamara celebrates his late leveller with Clint Dempsey
Younes Kaboul poked home after Antti Niemi had flapped at Gareth Bale's corner and Dimitar Berbatov smashed in Robbie Keane's sublime flick.
Fulham pulled one back through a Clint Dempsey header but Bale extended the lead with a fine solo run and finish.
Alexey Smertin's deflected shot off Ricardo Rocha clawed Fulham within reach before Kamara's late leveller.
It was the most unlikely of points for Fulham who had been completely outplayed throughout.
The visitors squandered countless chances and a draw for Martin Jol will feel like a sickening defeat, while Sanchez will feel extremely relieved to escape with a point.
Of the five new faces to join Fulham, only deadline-day arrival Dejan Stefanovic started, while Niemi returned from a long spell out with a wrist injury.
And 10 minutes into his first appearance of the season the keeper gifted Spurs the lead. The Finn flapped at Bale's whipped corner and the loose ball fell kindly to Kaboul who prodded his first goal for Spurs into the gaping net.
Berbatov opened his account for the season on 28 minutes after receiving a wonderful cushioned pass from skipper Keane. The Bulgarian raced past Stefanovic and clinically lashed home from an angle.
Jermaine Jenas should have finished Fulham off soon after, but when clean through he turned into trouble rather than squaring to the unmarked Keane.
Spurs stretched the hosts with the excellent Bale causing grief with every foray forward and the industrious Jenas and Steed Malbranque swarmed the back line at will.
Berbatov and Keane combined superbly until Keane was taken off
Completely against the run of play the home side pulled one back just before the break when Dempsey took advantage of slack marking to power home Simon Davies' corner.
Tottenham found their rhythm soon after the restart with the outstanding Berbatov forcing Niemi into fumbling over the bar, while former Fulham favourite Malbranque smashed a half volley against the post with Niemi grounded.
Tottenham's persistence paid off on 61 minutes, though, when Bale latched on to Keane's sublime flick, charged down the left flank unopposed and coolly slotted past Niemi.
Smertin's strike from the edge of the area smashed into the diving Ricardo Rocha and looped up and over Robinson, giving the England keeper no chance as Fulham searched for an unlikely point late on.
And, at the death, Kamara's desperate acrobatics from the edge of the area caught out Paul Robinson and secured the fortunate point.
Fulham boss Lawrie Sanchez:
"It's like a James Bond film where you think, why doesn't the villain kill him and then eventually he comes back to bite them.
"We went brave when they went defensive and sometimes bravery wins the day. Today it won the day.
"Our decision making was better than Spurs' today and it proved decisive."
Tottenham manager Martin Jol:
"We should have done much better and it's very disappointing. If you concede from corners and free-kicks you can start blaming each other.
"We have to cut out this sort of rubbish and these mistakes and then maybe we will start winning games.
"You have to defend a lead and we only have ourselves to blame. We should have killed them off and been more clinical."
Fulham: Niemi, Bocanegra, Konchesky, Stefanovic, Baird, Smertin (John 79), Davies, Davis, Dempsey, Bouazza (Healy 70), Kamara.
Subs Not Used: Keller, Volz, Omozusi.
Goals: Dempsey 42, Smertin 77, Kamara 90.
Tottenham: Robinson, Chimbonda, Rocha, Kaboul, Bale, Malbranque (Dawson 84), Huddlestone, Jenas, Lee, Keane (Defoe 68), Berbatov.
Subs Not Used: Cerny, Zokora, Taarabt.
Goals: Kaboul 10, Berbatov 28, Bale 61.
Ref: Mike Riley (Yorkshire).