Hi,
Italy has the first option of taxing Italian property income, but the UK also has the right to tax your worldwide income, so it should be declared on a tax return.
As you are in receipt of foreign employment income and foreign property income, you will need to register for Self Assessment and declare the income in a tax return. If you were in Italy at the time you were employed, the employment income is taxable there. If you were in the UK working remotely, then the income is taxable in the UK and not Italy. For the latter, you will need to request a certificate of residence in relation to the employment income.
How to apply for a certificate of residence to claim tax relief abroad
You should claim a refund of any tax paid in Italy on the employment income, as it is not taxable there.
The overseas property income and employment income should both be declared in the tax return. You can claim a foreign tax credit to avoid double taxation.
Thank you.