Singh is expected to clearly tell the new Pakistani leadership that Islamabad needs to "match its words by action" when it comes to their commitment on counter-terrorism.
Putting ball in their court, the Indian side, according to sources, will ask them what the new Pakistani government has to offer in addressing India's concerns over continued terrorism, particularly since Sharif has made some "nice" statements.
Setting the tone for the meeting, the Indian Prime Minister said at the UN General Assembly that the "terror machinery" in Pakistan, which receives "sustenance" there, must be shut down to allow progress in the dialogue process.
He said the "epicentre of terrorism" is in Pakistan and wanted the problem to be addressed.
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One of these proposals is forming a joint mechanism to monitor tensions along the Line of Control in Jammu and Kashmir, officials said.
"We are ready to talk on all issues. We know what are the issues," sources familiar with preparations for the talks said.
"Let's see what they offer to deal with our concerns," they said adding.
India would like to hear from Pakistan on specific steps they would want to take on key issues like dismantling LeT, bringing to justice the perpetrators of the 2008 Mumbai terrorist attacks, and anti-India activities of "wanted" individuals like Dawood Ibrahim.