Murray was making her first international appearance since being crowned world champion and was in no mood to relinquish the top step of the podium as she held off home favourite Margauz Isaksen to take home gold.
French, meanwhile, made up a significant deficit in the combined to post a time of 13:15.82 minutes and take the bronze ahead of Russian Donata Rimsaite.
Meanwhile, Joanna Muir finished 18th while Freyja Prentice was in 29th on her World Cup debut, all of which left Bartu toasting a job well done, even if he knows there is still room for improvement.
French breaks world record in modern pentathlon World Cup return
"These results far exceeded our expectations," said Jan Bartu. "They show that the athletes and the coaching and support teams are on track in preparations for the Rio Games.
"Special recognition goes to Samantha Murray for continuing her winning streak and Kate French's first world cup medal performance indicates her strong future potential.
"There is always room for improvement so the upcoming World Cup competitions in Egypt, Rome and Hungary will provide opportunities for more British athletes to make their mark at the top of the international stage."
© Sportsbeat 2015
GB’s Choong and Cooke finish without a medal in modern pentathlon
GB women end winning run in Olympic modern pentathlon competition