You should include any income and expenses from your property abroad in your federal return (which will then flow to the New York return).
Enter it just as you would if the property was in the U.S. (rental property or second home).
@IreneS More specific version of this question specifically for NY State return: Have a second home abroad (in France). It is not rented out nor available for rent so Schedule E not relevant. If I itemize deductions on NY State return can I deduct property taxes paid in France on this property on my NY State return just as my friends who have Real estate property taxes in the USA on two homes deduct them on their NY state returns
ie can one deduct Real estate and property taxes from a second home ?
Foreign property (real estate) taxes aren't deductible in tax year 2018 through 2025 due to the Tax Cuts and Jobs Act. In 2017 and prior years, foreign property taxes could be deducted.
But for NYS income tax purposes, you can deduct foreign taxes you paid on real estate (IT-196, line 8), if you itemize the deductions.