It is learnt that Modi asked Home Minister Rajnath Singh and Prasad to work together to draw up the blueprint in the coming days.
Fast tracking court cases against politicians, especially legislators, was stressed by Modi in his election speeches and media interviews in the run-up to Lok Sabha polls.
The Law Ministry has already started working on the roadmap and one of the options is to follow the recommendation of the Law Commission made to the Supreme Court in March.
"If trial is not concluded within one year then (either) the MP/MLA may be disqualified at the expiry of the one-year period or the MP/MLAs' right to vote in the House as a member, remuneration shall be suspended at the expiry of the one-year period," the report had said.
Another option, as suggested by Modi in one of his interviews, is to request the apex court to take up cases on a fast-track basis.
But the civil society has been insisting that the government should also focus on clearing cases related to rape and crime against children and not restrict itself to politicians.