Nora Mørk and Henny Reistad made a lot of impact in their home country early in the match to give Esbjerg a 6-2 lead.
The visitors played fast in attack and went on to dominate, and goalkeeper Eli Marie Raasok, who had done well in many of Storhamar's previous matches, struggled to live up to her reputation in the first half.
Esbjerg hit the 20-goal mark in the last second of the opening half and went into the interval with a five-goal advantage.
Anniken Obaidli led by example in Storhamar's attack, and her duel with fellow Norwegian international Reistad was spectacular, but the Danes did not give anything away after the restart.
The home team tried to fight back, but they could only cut the gap to four goals on a few occasions before Esbjerg had a strong finish to win by seven.
Odense bounced back to winning ways with a sheer humiliation of Podravka, after a surprising 31-31 draw in their first encounter this season.
It was a one-way traffic straight from the start. Podravka looked nervous and committed too many technical errors, which hampered any chance of keeping pace with the Danish side. From a one-goal deficit, Odense scored five successive goals with Viola Leuchter and Helene Fauske leading the charge.
That run proved decisive as Podravka could only convert 42 per cent of their shots on goal, while Odense surged to a double-digit lead (15-5) in just 20 minutes.
From then on, victory was all but assured, as Podravka couldn't mount a comeback. The second half allowed Odense to use the best of their rotation and build their lead.