Is TDS deductible in India against payments from India for Foreign company providing service in third country?

A foriegn company (not having any office or any relation in India) is providing an Indian Company service in third country( not in India) but the payment is made from India, is TDS under Indian Income TAx Act applicable? Please answer with sections / case laws.
A foriegn company (not having any office or any relation in India) is providing an Indian Company service in third country( not in India) but the payment is made from India, is TDS under Indian Income TAx Act applicable? Please answer with sections / case laws.

Also if yes please let me know the section where it says it is applicable.

Do I need to pay income tax on the interest I earned on foreign investments?

I have an house in another country and at moment I am renting it.
Do I need to pay tax on the rental income? Do I need to declare that I own an house in another country? At moment I already paying tax in that country.
Thanks
Thanks for your answer.

Yes, I am in US and I live and work here. The house in another country and I pay already tax on the propriety and I already pay tax on the money that I earn for the renting.

Anyway, how can I found in US one rofessional tax preparer. I was thinking to use Turbotax software also.

Thanks..