Hi eko,
Both foreign and domestic income is added together and the overall liability calculated.
Anyone who is resident in the UK and is not domiciled in the UK, can choose to claim the remittance basis of taxation.
In doing so, you lose your personal alloances / annual exempt allowance for capital gains and if you have been resident in the UK for a certain length of time, will also incurr the remittance basis charges.
Please have a look at sectin 9 of RDR1:
Residence, domicile and the remittance basis: RDR1
which may help you decide if it is beneficial to you.
Thank you.