Oliver Barker

Hello I am currently self employed in the UK and considering a move to Italy. I would keep my self employed work going here. Is it possible to pay tax here (currently sole trader but could switch to Ltd co if better), by submitting my tax return here and then just paying the difference on the higher tax in Italy? Rather than declaring there and claiming a tax relief here, can I do it the other way around? For my job and authorities I need to work, I need really to show tax paid here but not sure if that is possible? Thanks