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Yes, it will affect the chance of getting your Home Loan. Even though CIBIL operates only in India it has tie-up with Trans Union which functions world wide Credit Bureau can easily fetch your credit history through Trans Union.
TransUnion is a consumer credit reporting agency. It collects and aggregates information on over one billion individual consumers in over thirty countries.
So the default of your Credit Card payment will definitely affect your chance of getting NRI Home Loan and also it will affect your CIBIL Score.