The balance of the side looked much better than it has for the majority of the season. Udogie's overlapping runs on the left wing create the space inside for Odobert and Simons in the way that Djed Spence, a right-footer, does not.
In possession it was almost a 3-2-5 for Spurs. Udogie pushed up as a forward out wide, with Odobert and Simons as the two No10s off Randal Kolo Muani and Brennan Johnson keeping the width on the opposite flank.
Frank should be brave and allow the Udogie-Odobert partnership to flourish
There was plenty of rotation, though, with Udogie at times drifting inside almost as a striker and Odobert and Kolo Muani moving out to the wing.
Copenhagen were poor and allowed Spurs far too much space, but this was still as fluid as Thomas Frank's side have looked for large periods.
The challenge is now taking those promising signs into the Premier League performances, starting at home to Manchester United on Saturday.
Frank likes to tweak and set his side up to nullify the opposition, but there was enough evidence here to suggest he should be brave and allow the Udogie-Odobert partnership to flourish.
There were signs of it working well against Leeds before the international break, only for injuries to then make it a month until they got another opportunity to start again.
Destiny Udogie training with Spurs this week
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Spurs might lose something defensively without Spence, but the attacking payoff makes it worth it. Udogie offers the direct running and positive intent that Spurs have had too little of this season.
There is a danger of Pedro Porro being run into the ground at right-back, so Spence could be better used in rotating with the Spaniard on that side of the defence, with Udogie the first-choice option on the left.
There has been so much chopping and changing on that wing for Spurs this season that is almost inevitable it has looked disjointed.
Assuming Udogie can stay fit, which is always far from certain, a more settled approach to that flank appears the best way forward.