Responding to questions at a press conference, Sharif said that he had planned to hand over the dossier to Modi directly but the meeting did not take place.
"As such, a copy of the dossier would be forwarded to the UN chief (Ban Ki-moon)," Sharif was quoted as saying by Radio Pakistan.
Pakistan has been accusing India of interfering in its domestic affairs and creating instability in Balochistan, a charge India strongly denies.
He also said that it was in the interest of both the countries that they withdraw troops from Siachen - the world's highest battle ground.
Sharif has raised the issue of Kashmir in his address to the UN General Assembly annual session yesterday, drawing strong reaction from India, which accused Pakistan of using terror as a "legitimate instrument" of its statecraft.
India also asked Pakistan for "early vacation" of Pak occupied Kashmir (PoK).