Full and final settlement query

I've issued a claim against my neighbour as he has done a lot of damage to my roof - whilst he was doing his building work. All through the without prejudice negotiations he was adamant he wanted a full and final settlement - which I refused to accept as there is no idea what might happen in the future, etc. His solicitor has now responded - without prejudice - to my court claim - again stating that they will pay for the damage to my roof - in full and final settlement, and that there are no order as to costs. The full and final here means that there is no further comeback in the future . Am I correct??? Please help

Full and final settlement query