Hi innachayka,
If the UK company are providing digital services to consumers overseas then these supplies would be Outside The Scope of UK VAT and therefore there will be no requirement to register for VAT.
If the supplies are made to consumers in the EU, however, there may be a requirement to register in the countries where these consumers belong or register for the Non-Union VAT MOSS.
Please see the infomation below:
The place of supply of digital services
Thank you.