Additional pension contributions and tax-relief

I understand that, if I am unemployed in a certain tax year, I can make additional contributions to a private pension scheme up to £2880, which the government will top up with 25% (£720) for a total contribution of £3600. Is it possible to contribute more than £2880 in the following cases and if so, would the government still top up the contributions by 25%: - if in the previous tax year I was employed and did not use up my £60000 contribution allowance - if I have earnings from renting property abroad (not as holiday lets but as foreign income)

Hi erica,
Please refer to:
Tax on your private pension contributions
Thank you. 

NOT HMRC...re £60k, NO, thats an allowance not relief available, relief is restricted to earnings in year or the £2880. Re property, NO, that is not earned income.