Indian cricket team captain Mahendra Singh Dhoni and Harbhajan Singh leave the Board of Control for Cricket in India (BCCI) head office in Mumbai.
Ruling out confrontation with the BCCI over a controversial anti-doping clause that the BCCI has rejected, the ICC on Sunday said a "practical and mutually acceptable solution" would be worked out.
"What both parties are looking for is a practical and mutually acceptable solution to the current situation," ICC Media and Communications Manager Brian Murgatroyd said in a statement in Mumbai.
"The next step is for this matter to be considered further by the ICC Board to find a way forward. The ICC will make no further comment at this time," he added.
The BCCI on Sunday refused to accept the 'Whereabouts Clause' in the World Anti-Doping Agency's (WADA) code after Indian players expressed their reservations against it.
The players objected to the clause, which requires them to furnish details of their whereabouts three months in advance for out-of-competition dope tests, saying that it infringes on their privacy besides creating a security risk.
The BCCI backed the cricketers after an emergency meeting of its Working Committee, raising fears of a stand-off with
the ICC but the governing body was guarded in its response.
"The ICC is grateful to the Board of Control for Cricket in India (BCCI) and its players for giving their time on
Sunday to try and work through the issues relating to the implementation of the ICC Anti-Doping Code," said Murgatroyd.
"The ICC has noted the decision of the BCCI working committee. The ICC is aware of the issues of concern and it
remains confident they can be addressed to everyone's satisfaction," he said.
"The ICC and the BCCI are committed to a zero-tolerance approach to doping in cricket," he added.