Elinor Barker, Amy Roberts and Ciara Horne, riding for Welsh Cycling's trade squad Team USN in Aguascalientes, set a team pursuit personal best of 3:24.683 in qualification to rank third.
They then bettered that mark in the bronze-medal contest against Italy, clocking 3:24.419 to finish on the podium for the second time this season having won silver at the opening leg in Cali in October.
And Tudor, who leads the trade team which has been set up to develop Welsh riders ahead of next year's Commonwealth Games in Glasgow, liked what he saw in Barker, Roberts and Horne.
"The girls rode a lot better in the final, improving technically," said Tudor. "We learnt a lot from the first ride and slightly changed our tactics.
"This worked for the girls and they secured a comfortable win over the Italians. Their two kilometre splits, in comparison with gold and silver ride off, are very promising. I'm pleased with their result."
While Barker, who won team pursuit gold with the British team at the second World Cup in Glasgow, and Horne were done and dusted thereafter Roberts went on to compete in the points race.
She finished sixth as Polish scratch race world champion Katarzyna Pawlowska took gold with world junior time trial champion Barker set to tackle the omnium in Aguascalientes on Saturday.