Getting into SaaS Sales Role

Hey! I'm a Sales Professional with over 6 plus years of experience, (Finance and Ecommerce)

Got no experience in SaaS sales, have applied multiple times at multiple openings but often receive the same feedback, "No consideration since I've got no relevant feedback"

Basically I need a job for experience, they need experience for the job!

Any clues/ideas as to which company hires Sales Professionals without SaaS experience or any referrals? Any direction would help.

Kindly suggest.