I think you'd need an international trading platform and you'd...

I think you'd need an international trading platform and you'd have to convert your shares to LSE listing.

I've done it to transfer shares to the NASDAQ before, but never to the LSE.

It should cost nothing to have them transferred... But normally there is pages and pages of paperwork, as you'll have to jump through a whole bunch of hoops etc.

Your broker should be able to guide you through it, to some degree.

If you use commsec, they can set you up with an international trading account.

The only issue with commsec international, is that you'll probably pay double to triple the locak brokerage fee to trade.