"At the Line of Actual Control the situation is sensitive as incidents of patrolling, transgression and standoffs have a potential of escalation," he said.
The nearly 4,000-km-long border between the two countries is referred to as Line of Actual Control (LAC).
"While confidence building measures are being enhanced, we shall continue to take all action deemed necessary to ensure sanctity of LAC," the minister of state for defence said, addressing a seminar on the Army's contribution to nation building.
Troops of India and China were locked in a 73-day-long standoff in Doklam from June 16 last year after the Indian side stopped the building of a road in the disputed area by the Chinese Army. The face-off ended on August 28.
He also said that rising instability in India's neighbourhood had increased the possibility of proliferation of weapons of mass destruction to non state actors.
"Today, we are facing a difficult neighbourhood with myriad security challenges. Ceasefire violation along the Line of Control continues to target Army and civilians. Situation in hinterland in Jammu and Kashmir remains a challenge," he said.
Bhamre also emphasised the need to effectively deal with "inimical threats" to the country and added that rise in religious fundamentalism and its spread through social media remains a cause of concern.
"We need to continue with firm action to negate, mitigate and destroy elements inimical to our security," he said.