Jakob Park Stadium and striker Pavlyuchenko headed over when unmarked from an Igor Semshov cross.
Russia nearly made the points safe when Pavlyuchenko's dipping shot left the Wales crossbar quivering.
No sooner had goal-scorer Semshov been replaced by Tottenham's Pavlyuchenko than Russia retook the lead.
Spurs suffered another blow when striker Pavlyuchenko, limping from early on, was replaced by Darren Bent.
Substitute Bent, on for Pavlyuchenko, raced onto Modric's through ball but saw his shot saved by Jusskelainan.
But Kuznetsova's compatriot, 10th seed Anastasia Pavlyuchenko, was knocked out of the tournament by Kazakhstan's Ksenia Pervak .
David Bentley's pin-point cross was met by Roman Pavlyuchenko to give Spurs the lead midway through the first half.
Roman Pavlyuchenko's crisp effort and Michael Duff's own goal gave the hosts a crucial advantage for the second leg.
Offers for Liverpool attacker Ryan Babel, Celtic winger Aiden McGeady and Tottenham striker Roman Pavlyuchenko were all turned down.
But a low Sergei Ignashevich free-kick and Roman Pavlyuchenko's injury-time third, from a defensive blunder, ended Wales' last faint qualification hopes.
It was a harsh decision and the nonchalant way Pavlyuchenko stroked in the spot-kick will not have improved the Twente mood.
Tottenham play Barcelona on Friday and Celtic on Sunday with strike duo Roman Pavlyuchenko (thigh) and Robbie Keane (groin) also doubtful.
The second half was 11 minutes old when Arshavin found Sergei Semak whose cross from the right was neatly turned in by Pavlyuchenko.
But Spurs earned the benefit of another dubious penalty decision as Nicky Kuiper was punished for handball as he blocked a Pavlyuchenko shot.
Crouch agreed personal terms and passed a medical on Monday, joining strikers Robbie Keane, Jermain Defoe and Roman Pavlyuchenko at White Hart Lane.
They were almost caught out, though, when Spurs broke and Luka Modric crossed for Roman Pavlyuchenko, who should have got his header on target.
Spurs responded with spirit, and Roman Pavlyuchenko should have equalised after a mistake by Paul McShane, but could only shoot straight at Boaz Myhill.
Tottenham brought on Darren Bent for Roman Pavlyuchenko and Aaron Lennon for a disappointing Modric, but there was barely any improvement in their attack.
Tottenham striker Roman Pavlyuchenko came closest to breaking the deadlock in the opening 45 minutes but his curling effort came back off the post.
Tottenham striker Roman Pavlyuchenko cut the deficit to 3-2 with a deflected free kick in the 78th, but Maradona's team hung on for victory.
Poland, led by Jakub Blaszczykowski (14 letters), finished second at 8.43 letters per player, followed by Roman Pavlyuchenko and Russia at 8.13 letters per player.
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Nacer Chadli's poked shot gave Twente hope but a dubious penalty allowed Pavlyuchenko to add a Spurs third and Gareth Bale's late goal sealed victory.
Spurs made an unconvincing start on the plastic pitch and were 3-0 down inside 28 minutes before Sebastien Bassong and Roman Pavlyuchenko reduced the deficit.
Danny Rose, on as a 70th minute replacement for David Bentley, broke down the right before finding Pavlyuchenko, who slotted in the fourth from eight yards.
Spurs were creating chances, too, Pavlyuchenko heading Kaboul's cross wide at the near post and Bale excellently denied one-on-one by Jaaskelainen after Jermain Defoe's clever through-ball.
Crouch, who Redknapp publicly backed after his sending off in the Bernabeu, was perfectly placed to head in strike-partner Roman Pavlyuchenko's cross following a short corner.
Modric and Huddlestone were sacrificed at half-time in favour of Aaron Lennon and Roman Pavlyuchenko as Spurs switched to a 4-4-2 but Fulham remained largely in control.
Ramos has also spent big on Luka Modric, David Bentley, Roman Pavlyuchenko and Vedran Corluka while losing the services of strike duo Robbie Keane and Dimitar Berbatov.
After returning to White Hart Lane from Liverpool in February 2009, Keane found himself behind Peter Crouch, Roman Pavlyuchenko and Jermain Defoe in the attacking pecking order.
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While Andrey Arshavin, Yuri Zhirkov and Roman Pavlyuchenko's international exploits have helped them shape their own futures at English clubs, Berdyev's squad have stayed under most scouting radars.
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