The Russian foreign ministry's spokeswoman accused Kyiv of bolstering its military forces and hardware at the contact line with separatists in the Donbass.
The KPU said that repeated scares over hypothetical Russian invasions had been raised by the Ukrainian authorities since 2014, but pointed out that neither Russia nor Ukraine had anything to gain from renewed fighting in the Donbass when both are struggling with the coronavirus pandemic.
"In my opinion, and we have just started coordinating this issue with the counterparts from the Baltic states, that North Atlantic Treaty Organisation could repeat its proposal to provide a MAP to Ukraine", Landsbergis said after his meeting with visiting Spanish Minister of Foreign Affairs, European Union and Cooperation Arancha Gonzalez Laya.
"Everything depends on the scale of the conflagration", he said.
Ukraine's President Zelenskiy came to power promising to bring about peace, and a ceasefire was signed last July.
The ongoing conflict in eastern Ukraine began in April 2014.
The United States is discussing its concerns with its North Atlantic Treaty Organisation allies, White House Press Secretary Jen Psaki told a briefing. Zelenskiy said this week that 24 Ukrainian servicemen had been killed so far this year.
"We call on Russian Federation to refrain from escalatory actions", said State Department spokesman Ned Price on Monday. North Atlantic Treaty Organisation has assured Kyiv that the alliance will continue to support the country's sovereignty and territorial integrity and monitor the situation closely.
Kremlin spokesman Dmitry Peskov said those living in eastern Ukraine would not tolerate North Atlantic Treaty Organisation membership, and that rhetoric could further destabilise the Donbass region. "The amount of shelling is increasing", Denis Pushilin, a separatist leader in Donbass, was quoted as saying by TASS news agency.
Russia, meanwhile, dialed back claims of aggression from its neighbor.
When Sweden and Finland adopt a non-alignment political position, Ukraine's entrance to North Atlantic Treaty Organisation is something Russians see as a direct threat against their national security and foreign policy.
A spokesman for US President Biden said the Ukrainians had long wanted to join North Atlantic Treaty Organisation and that the US government was talking to them about it.
Ruslan Leviev, from CIT, told BBC Ukraine: 'We notice the movement of all the units. But after changing its name to North Macedonia under pressure from the Greeks, the country was finally able to join the alliance. "Ukraine's MAP will be a real signal for Russian Federation". It might seek to get some appeasement from Kiev prior to any talks.
For the Biden administration, there could also be some hesitation for personal reasons.
The two leaders also exchanged views on the Syrian problem, the state of affairs in Libya, and the situation in the Balkans.