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Scottish Secretary Michael Moore gave evidence to peers on the economic implications for the UK of Scottish independence on 18 December 2012.
The committee has recently written to the European Commission asking for guidance on what would happen to an independent Scotland's future membership of the EU, and has invited President Barroso to give evidence to the inquiry.
He has recently stated that any new independent country would have to apply to join the EU.
However, Deputy First Minister Nicola Sturgeon has told MSPs that an independent Scotland remaining as a member of the EU was a "realistic" prospect.
A vote on Scottish independence is due to take place in the autumn of 2014.