Washington, July 16 - The US hopes that greater understanding and progress on the issue of Pakistan moving forward with prosecution of those responsible for the Mumbai terror attacks would emerge from the ongoing India-Pakistan dialogue.

'Obviously, we want to see greater understanding and progress, particularly on the issue of Pakistan moving forward with prosecution of those responsible for the Mumbai attacks,' Assistant Secretary for South Central Asian Affairs Robert O. Blake told reporters Wednesday.

And there are some indications in the Pakistani press that the charge sheets are going to be filed as early as next week on that, which certainly would be a positive step forward, he said in a briefing on US Secretary of State Hillary Clinton's five-day visit to India starting Friday.

But the US did not play any role in setting up a meeting Thursday between Prime Minister Manmohan Singh and Pakistan premier Syed Yousuf Raza Gilani, Blake said. 'I mean, this was set up entirely between the two countries. And as I said earlier, it's a continuation of some of the previous contacts they have already had.'

Referring to earlier meetings between Manmohan Singh and Pakistan President Asif Ali Zardari as also those between other officials, Blake said: 'So I think there's already been good dialogue underway and certainly we welcome that. And I'm sure that Pakistan will be a subject of discussion during the meetings between Clinton and Indian officials.'

Asked if the US shared India's perception that Pakistan was still running terrorist training camps, Blake said: 'Let me just say on the whole broad issue of terrorism that the United States has been very encouraged by the important steps that Pakistan has taken, most notably its operation in the Swat Valley and now more recently some of the steps in South Waziristan.