"We cannot succumb to the pressure of Taliban or any extremist group. Our approach is of zero tolerance," External Affairs Minister Pranab Mukherjee told reporters.
"This is exactly what the Taliban want. They do not want any development activity in Afghanistan," he said.
"Almost everyday we are facing this problem. Threats and minor attacks are taking place on a daily basis," he added.
Mukherjee said India was helping Afghanistan in the construction of a major road to Iran, a hydel power project and a Parliament buiding.
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He asserted that India had made adequate security arrangements and had even arranged for its own security forces there besides contacting the local government.
Out of the two persons kidnapped in Afghanistan, one was confirmed to be an Indian while the identity of the other was yet to be ascertained, he said.
The two were working for a Dubai-based company, having a sub-contract for an American firm.