The talks took place in a beach resort in Benaulim on the sidelines of a meeting of the Council of Foreign Ministers of the Shanghai Cooperation Organisation.
The talks between Singh and Esper came a day after Prime Minister Narendra Modi held a telephonic conversation with US President Donald Trump.
India is also likely to push for a Free Trade Agreement with the Eurasian Economic Zone and is sharing details of the study it conducted in this regard.
India and Iran on Monday decided to jointly combat terror, radicalism and cyber crime as the two strategic partners signed 12 agreements including a "milestone" pact on developing the key Chabahar port for which India will provide $500 million.
Prime Minister Narendra Modi's visit to South Korea is considered essential in strengthening defence ties, enhancing economic cooperation and forging cultural ties between the two countries, says Dr Rahul Mishra
Ties with Pakistan and China which were on the centre stage of Indian diplomacy saw a "deterioration" in the year gone by, according to foreign policy experts who feel that the relationships are unlikely to see any forward movement in the new year.
'The creation of Pakistan was integral to Britain's grand strategy.' 'If they were to ever leave India, Britain's military planners had made it clear that they needed to retain a foothold in the NWFP and Baluchistan because that would provide the means to retain control of Iran, Iraq, Kuwait, the UAE, Bahrain and Qatar.'
Whether it liked it or not, the Ukraine crisis forced India to choose between the aggressor Russia and the US-led free world, a decision it hated to make, Virendra Kapoor points out. In the end, it abstained from the vote in the Security Council.
US-Pakistan relations are poised to touch a qualitatively new level under the Biden administration, notes Ambassador M K Bhadrakumar.
Afghanistan is learnt to have sought enhanced supply of military hardware from India.
The special hotline contact was initiated by the Pakistani DGMO.
Pakistan appears to be reconciled to a long haul in clinching a civil nuclear deal with the US with President Asif Ali Zardari today saying it took nine years for India to secure an atomic pact with Washington.
Blinken and Indian leaders on Wednesday will discuss a plethora of pressing issues such as the fluid situation in Afghanistan, regional security concerns, COVID-19 response and ways to boost Indo-Pacific engagement, people familiar with the agenda of talks said.
Making a statement in Lok Sabha, Singh also said the Indian Army has inflicted heavy costs including casualties on the Chinese side during the clash with the People's Liberation Army at the Galwan valley on June 15.
CAATSA was aimed at Moscow and not intended to damage the military capabilities of its 'allies and partners', US said.
India and Russia will sign a framework agreement in civil nuclear field and three pacts in defence sector during the three-day visit of Prime Minister Manmohan Singh beginning on Sunday.
24-year-old Rifleman Yash Paul, a resident of Mantalai village in Udhampur lost his life in cross-LoC firing.
'Washington is well aware that the Haqqani group was responsible for terrorist attacks on the Indian diplomatic establishments in Afghanistan.' 'But today US self-interest dictates that Sirajuddin Haqqani's mainstreaming in Afghan political life and a potential elevation eventually to a leadership role at the national level is useful and necessary, since he can deliver peace,' notes Ambassador M K Bhadrakumar.
'As the tanks roll down Delhi's Rajpath and the C-17s fly overhead, there could be a lot brewing in Hyderabad House,' says Surya Gangadharan.
The two sides also decided on early operationalisation of the proposed hotline between the two armies as part of the confidence building measures, the defence ministry said.
India on Tuesday lodged a protest with Pakistan over increased border ceasefire violations as top military officials of the two countries held telephonic talks and agreed to hold flag meetings to defuse the situation.
Future, even present, wars -- at least those involving such tech giants as China -- include hi-tech battlefields, which a Pakistan-obsessed India has not sufficiently prioritised. Today's generals plan on how to disrupt an enemy city's power supplies, rail networks, airports, ports, and government departments, not just by bombing or torpedoing them; they also examine the option of tripping up the computer networks that run these, notes David Devadas.
'In the past the US has been reluctant to name Pakistan directly in an US-India joint statement.'
China's national legislature -- the National People's Congress (NPC) -- on October 23 adopted the new law on the protection and exploitation of the land border areas which drew sharp reaction from India as it was passed amid the protracted military standoff between the two sides in eastern Ladakh region.
India's ties with Saudi Arabia have been on an upswing over the last two decades based on burgeoning energy ties. Both sides are keen on expanding the economic ties in a range of areas besides the oil sector.
The firing and mortar shelling continued night long in several sectors of Poonch and Rajouri districts.
Nine security force personnel were injured in the firing by the terrorists, they said adding five of them succumbed to injuries.
This is the second major ceasefire violation along the IB this month and came despite Director General Military Operations of the two countries agreeing, on May 29, to implement the ceasefire pact of 2003 in "letter and spirit".
The India-Japan 2+2 dialogue added strategic heft to the special relationship in the wake of growing Chinese assertiveness on regional affairs, points out Dr Rajaram Panda.
General Mattis has been the most steadfast champion in Trump's cabinet of the US-India defence relationship. If Trump chooses a more pliable successor, the Pentagon's attention could go off India.
>Putin's last-minute intervention with PM salvages $5.43 bn pact.
'Jinnah developed a belief that Gandhi had stolen the tag of the leader of the Indian people from him and that he later used religion to reduce Gandhi's idea of a united India to naught was his revenge.'
Possible US envoy says India must get assurance against China.
The Biden administration expects the Modi government to continue to remain as its loyal camp follower even as Washington continues to act in self-interests, observes Ambassador M K Bhadrakumar.
'China physically occupies about 45,000 sq km of J&K as claimed by India, including 3,000 sq km captured in the 1962 War and never returned; and 5,180 sq km ceded to China by Pakistan in 1963.' 'It is hard to justify remaining silent about the return of China occupied Ladakh,' observes Ajay Shukla.
'The hardliners in Delhi are in for a big disappointment,' predicts Ambassador M K Bhadrakumar.
PM Modi also called for a strong action plan for combating extremism.
India and Russia on Thursday decided to expand cooperation in various sectors as they signed 16 pacts, including on joint manufacture of 226 military helicopters.
'Previous governments in India had reservations about working with Israel.' 'Modi has shed this tag.' 'Disengaging itself from its traditional and ideological foreign policy approach in the Middle East shall serve India's long-term interests.' Rajaram Panda explains why the significance of Modi's visit to the Jewish nation goes beyond markers like the first-ever visit to Israel by an Indian PM and 25 years of diplomatic ties.
'War cannot resolve problems. So wisdom is to resolve diplomatically.'