As a non domiciled resident of the UK, you are taxed by default using the 'arising basis' on your world-wide income, even if you do not bring it to the UK (remit). This means that you would declare your overseas consultancy fees under self employment (SA103) and if your paid foreign tax, you would also declare on SA106 and claim a foreign tax credit.
As a non domiciled resident of the UK, you also have the option to use the remittance basis. If you choose to use the remittance basis, then you can declare the overseas income and capital gains that you did not remit to the UK, so that you do not pay tax on it in the tax year that it arises. You would, however, pay tax on it in a later tax year, if you bring it to the UK in that later tax year.
Have a look at the guidance on remittance basis at the link below, as you will need to decide if the remittance basis is right for you.
Residence, domicile and the remittance basis: RDR1
To claim the remittance basis, you will need to complete SA109 as part of your tax return.