The phrase 'over the terms' is correct and can be used in written English in many contexts.
For example, "We agreed to the contract after negotiating over the terms."
A protracted negotiation over the terms follows.
The parties fell out over the terms of these arrangements.
Further confusion often arises over the terms genetic and familial.
He hesitated over the terms "low end" and "bottom drawer" before settling on "Junk".
The fighters and the UFC have sparred over the terms of the rematch.
Harrison has reportedly recently changed lawyers to continue negotiations over the terms of her settlement.
Greece will now begin negotiations with its private creditors over the terms of the package.
Then they argued over the terms by which Russia could continue to use the base.
However, there was a growing backlash from junior doctors over the terms agreed by their union.
Yet the two camps continue to bicker over the terms of such a ban.
The French are ready for a tough fight over the terms of separation.
