The Dutch squad oozes talent, with stars like Patrick Kluivert, Dennis Bergkamp and Marc Overmars.
After some typically-slick approach play from Kluivert, Shearer emphatically lashed the ball beyond Zurab Mamaladze.
BBC: SPORT | Football | Europe | Newcastle 2-0 Dinamo Tbilisi
And Babayaro's dismissal effectively ended Chelsea's challenge, Kluivert wrapping up the win with goal number five.
But it was left to Kluivert to typify Newcastle's evening by directing his close-range shot wide late on.
BBC: SPORT | Football | Europe | Newcastle 2-0 Dinamo Tbilisi
Kluivert has had other problems, in trouble with the law and struggling to make an impact at AC Milan.
Souness took the opportunity to give Kluivert a rest after his two-goal salvo and James Milner got the chance to impress.
Newcastle now looked like scoring at will, and a Robert pass slipped in Kluivert to rifle home a killer third just before the break.
Placente brought down striker Patrick Kluivert in the 60th minute for a penalty and was relieved to see goalkeeper Hans-Joerg Butt save Riquelme's spot kick.
The tie looked over when Kluivert forced the ball over the line - but he had been felled by Leboeuf and the penalty was awarded.
De Goey was forced to tip a goal-bound cross from Michael Reiziger and the Dutch keeper was relieved to see a header from Kluivert rebound off the bar.
The Dutch, who started with Rangers' Arthur Numan in their backline, put out an experimental side although there were still heavyweights on display including Dennis Bergkamp, Patrick Kluivert and Edgar Davids.
Paolo Guerrero was sold to Hamburg and Beckenbauer claims further departures to the north may be on the cards as their Bundesliga rivals are in the market for a striker, having failed to land Milan Baros or Patrick Kluivert.
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