'grapple over' is a correct and usable phrase in written English.
You can use it to describe when people are arguing and discussing a difficult problem or issue in an intense manner. For example: "The two teams were left to grapple over the details of the agreement."
And how could we grapple over "musical differences" when we weren't writing our own songs?
House Republican leaders continue to grapple over how to proceed on a measure, which some of them oppose, that would permit the export of food and medicine to Cuba under certain restrictions.
Presidential move: CBS goes far for Assad In agreeing to be interviewed for American television by the veteran US broadcaster Charlie Rose, Syria's president Bashar al-Assad knew his remarks would gain maximum exposure as the Western powers grapple over what to do over the alleged chemical weapons attack against his own people.
Shrewdly, Scott is letting MCI WorldCom, AT&T, Level 3 and other competitors grapple over big-budget corporate accounts; he is aiming at small- and medium-size businesses.
Media giants often grapple over retransmission fees, which cable companies pay to broadcasters for the right to include their channels in cable offerings.
While policymakers in Washington grapple over what comes next, here in Raqqa, the recent freeze in aid means the city sits in a vast pile of its own rubble, filled with rotting corpses and live munitions that could explode at any moment.
The pair grappled over what they would call their newborn music player, with suggestions ranging from the random – "Jellybean" – to the ridiculous: "Thunderspark".
While his true market value is grappled over by lawyers and agents, he can only dream of a time when he, like Crespo, can reap the fruits of his labour and truly own his destiny.
There are certain ethical quagmires, grappled over by anthropologists and ethnologists since time immemorial, in attempting to document uncontacted or lost people tucked into the few remaining hidden pockets of this earth.
That is something that Russians and Germans have grappled with over and over in the last century.
This idea of who gets to create black art, who gets to receive black art and how they get to receive it has been grappled with over and over, in many ways ― from Steve McQueen's "12 Years a Slave" to the white-directed and -written "The Help" to even Jenkins' Oscar-winning last movie, "Moonlight".
