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EMI for UK/HK companies

What business you are in and with what destinations (countries) you are to perform payment operations (both in and out)?
(It is difficult to recommend lacking this information.)
 
IT Software development
Data protections and cyber security

the companies targets EU countries mainly
OK. Then:
For a HK LTD you can go well with Currenxie, Statrys, Airwallex (the order matters, Currenxie – and perhaps Statrys too – has easier onboarding).
For a UK LTD – I am not so experienced here but you can basically try the same. If Intergiro still onboards UK companies, it will be the best bet – but I doubt they do, as the UK left EEA; but perhaps it is worth asking, their webpage claims clearly that they are “EEA only” but the UK has a special handling sometimes...