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Adverse possession applies in all cases where a party possesses land which is not owned by them, without dispute or express consent of the paper owner, for a period of 10 years, where the land is registered at the Land Registry.
In order to be successful in the application to the Land Registry, the party also has to show that they have "possessed" the land to the exclusion of the paper owner.
It would normally be sufficient to prove this "possession" if a fence is in place, and the Land Registry Surveyor would inspect to check this, following receipt of any application.
Your neighbour would therefore be entitled to make an application for possessory title under the adverse possession laws, PROVIDED he could show he has possessed the land for at leat 10 years without dispute or the express consent from you. I note you disputed the fence line originally, but if you have let matters remain as they are for the last 10 years or more and have not carried out any positive act to show that you dispute the boundary, you may find it hard to defend any application made by your neighbour. If, of course, you have written to the neighbour in the last 10 years ago disputing the fence line or there was a document drawn up basically stating you both acknowledge that the fence is in the wrong position, then these would be sufficient grounds to defeat any application made by your neighbour. Without either of these, I fear you may be struggling to defend any such application.
I hope this assists you and sets out the legal position.