The port project was delayed amid fears of US curbs on financial flows to Iran, expected on November 4, the Indian media cited its sources as saying.
The outlet's sources also stated that the countries have been racing against time to set up back channels for bilateral payments.
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The news comes amid earlier reports that India has pledged $500 million for the port, which is expected to become operational by 2019. It will allow Indian shipments to bypass rival Pakistan on the way to Afghanistan and farther into Europe.
According to the contract, India is constructing two terminals (five berths) at Chabahar Port with an investment of $85 million for procurement of port equipment. In addition, India is providing Iran a $150 million loan through the Export-Import Bank of India (EXIM Bank) for the development of Chabahar Port.