During Ansari's discussions with Hungary's President Janos Ader, Prime Minister Viktor Orban and other top leaders, both the countries favoured elimination of the menace of terrorism and sought a strong global legal framework and sustained global action to deal with the threat.
Ansari expressed appreciation for the support extended by Hungary to India's membership of the Missile Technology Control Regime and for entry into the Nuclear Suppliers Group.
He said relations between India and Hungary are friendly, multi-faceted and have a cultural resonance besides both the countries being thriving democracies and dynamic economies.
The Hungarian Prime Minister said his country has set up a working group on technology to explore the possibilities of bilateral cooperation on various issues, including defence production for mutual benefits.
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He recalled contribution of India's then envoy to Hungary M A Rahman, who played a key role in Hungary's historic 1956 uprising, saying former Prime Minister Jawaharlal Nehru too had supported Hungarian people's struggle.
Ansari also visited Balatonfureden, a central Hungarian city where Nobel laureate Rabindranath Tagore had spent some days in 1926 to recuperate from his heart ailments and paid floral tribute to him.
During the two-day visit to Algeria, Ansari is expected to raise the issue of cross-border terrorism affecting India and a host of other bilateral issues.
Mehta said the issue of cross-border terrorism emanating from across India's border will be raised during bilateral meetings the Vice President will have with Algeria's President Abdelaziz Bouteflika, Prime Minister Abdelmalek Sellal and other top leadership.
"There will be meeting of minds to fight terrorism with all his interlocutors and counterparts," she said.
Algerian President Bouteflika was the chief guest at the Republic Day celebrations in 2001.
Bilateral trade between India and Algeria stood at USD 1.5 billion per annum, majority of which is related to oil and oil products imported by India.