"When the matter was brought to his attention, he immediately sought advice from the Department of Finance," Mr Boyce said.
"The advice received said it was not possible to determine if the travel was within entitlement.
"For the avoidance of any doubt, Mr Abbott has repaid all costs associated with this travel totalling $1,094.64 and the matter is resolved."
It is the second time Mr Abbott has repaid travel entitlements he had claimed from taxpayers.
In 2010 he repaid $9400 he had claimed for a 2009 book-tour to promote his book Battlelines.
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