Introduce competition as a means to negotiate better terms. If you've received lower quotes or have competitors offering similar functionalities at a better price, inform the supplier. Explicitly state that if the pricing cannot match or be improved, you will need to evaluate these alternatives seriously.

Request the removal of any auto-renewal clauses from the contract to maintain the ability to negotiate in the future. Emphasize that it's a requirement from your finance team to avoid auto renewals for new vendors in order to have the flexibility needed going forward.

Address the topic of overage fees, which can sometimes be negotiable. Reference your historical usage and state that you expect to have overage fees waived if your usage continues at the current level or increases. This can provide essential budgetary relief.