Mr Singh held wide-ranging talks with the Brazilian president who began her state visit to India Friday after the conclusion of the BRICS summit.
After the talks, the two sides signed six pacts in areas ranging from closer cooperation in science and biotechnology to cultural exchanges.
Reinforcing key points stressed at the BRICS summit, Mr Singh said India and Brazil have agreed to enhance consultations on reform of global governance system, particularly in the context of the reforms of the United Nations and in the G-20 process.
"We have agreed to step up our efforts, particularly towards the reform of the United Nations Security Council as G-4 partners," he said. India, Brazil, Japan and Germany are part of the G4 grouping that's pitching for a permanent seat in a reformed UN Security Council.
"We are convinced that a resolution to the crisis in West Asia can only be achieved through dialogue and consultations," Mr Singh told reporters at a joint media appearance with Ms Rousseff.
On Thursday, the BRICS grouping, including Brazil, Russia, India, China and South Africa, called for dialogue to resolve the Iranian nuclear standoff and the Syria crisis.
Underlining "a high degree of convergence" between India and Brazil on global issues, Mr Singh said that the two countries shared "common perspectives on environmental issues" and wished Brazil success in hosting Rio+20 Conference on sustainable development in June this year.