A day after his talks with Modi, Oli said Nepal followed a "very democratic process" in finalising and promulgating the Constitution.
He said he sought India's assistance in ensuring economic development of his country.
"My sole purpose was to clear the misunderstandings and improve the ties between the two countries that had reached its lowest for the past few months and I believe I have succeeded in that," Oli said.
"I did not come to Delhi with a shopping list. Therefore let nobody assume that I begged or inked any agreements," he said.
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Asked about India's message that all issues relating to the Constitution must be addressed through consensus and dialogue, he said his government was ready to address the grievances.
Deputy Prime Minister and Foreign Minister Kamal Thapa described Oli's visit as "complete success".
Yesterday, Modi had conveyed to Oli that the success of its new Constitution will depend on resolution of contentious issues through "consensus and dialogue" in a time-bound manner. The focus of the talks was on repairing the ties soured in the wake of a four-month-long agitation by the Indian-origin Madhesi community.
India was for peace, stability and overall development of Nepal, Modi had asserted after the meeting with Oli.
The agitators had blocked various entry points for almost four months crippling supply of petroleum products, medicines and other commodities from India. The blockade was lifted this month.