NEW ORLEANS (AP) — BP’s cement contractor on the drilling rig that exploded in the Gulf of Mexico in 2010 announced Monday that it is trying to negotiate a settlement over its role in the disaster, a focus of trial testimony that ended last week.

Halliburton Chief Financial Officer Mark McCollum said during a conference call that talks were at an “advanced stage.” The Houston-based company says it hopes court-facilitated negotiations will resolve a substantial portion of private claims it has faced since the Deepwater Horizon rig blast spawned the nation’s worst offshore oil spill.