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you uncle has addressed Irish Estate in his will which he has made for English Estates?
you have explained that your uncle made 2 wills.
i was just getting information that your uncle has mentioned Irish Estate in his will which he made for Estate in England.
Then it should not be any issue.
There is no specific place for Solicitors mediation regarding this .
if English Solicitor has any issue then your English Solicitor should contact to your Irish Solicitor. They should take steps with mutual understanding. you should give authorisation to your English Solicitor to contact to your Irish Solicitor.
I hope it will help you