Tusk visited the city near the Polish border for talks with the Ukrainian president on Warsaw's support for Kyiv against Moscow's ongoing full-scale invasion, Polish state news agency PAP reported.
'Long and sincere conversation'
After the talks, Tusk told reporters: "We had a long and sincere conversation about the geopolitical situation, the situation on the front, and Polish-Ukrainian relations."
He declared during a joint news conference with Zelensky that Poland would do everything in its power to make Ukraine's NATO membership a real possibility, news agencies reported.
"We will do everything we can to bring Ukraine's NATO membership closer to reality, but we know it will not be easy," Tusk said, as quoted by his office.
He argued that Ukraine's war with Russia "is part of a great clash of civilizations" and declared that Poland would support Ukraine in the long haul.
"Ukraine has always been able to count on Poland's support for NATO membership," Tusk said. "Nothing has changed here. If it depended on Poland, it would take no longer than a day. But you can count on our diplomacy and actions."
Poland will push for Ukraine's EU membership: PM
Tusk also promised that Poland would work to accelerate Ukraine's accession to the European Union.
He described Ukraine's war with Russia as "part of a great clash of civilizations" and affirmed Poland's long-term commitment to supporting Ukraine.
"Ukraine has always been able to count on Poland's support for NATO membership," he said. "Nothing has changed in that regard. If it were up to us, the process would take no longer than a day. But you can count on our diplomacy and actions."
Tusk also said in Lviv that Western countries must do everything to ensure that Ukraine emerges from the war with Russia without losses in terms of its territory and borders, and with security for the future, the Reuters news agency reported.
'Stop speculating about Ukraine's possible defeat'
He appealed to "all leaders of the Western world" to "support Ukraine at this time, more than ever before" and to "stop speculating about Ukraine's possible defeat."
He added: "It is the mission of every civilized nation to support Ukraine in its heroic battle. The Polish nation will be very consistent in this regard."
'In a sense, we are also a frontline state': Polish PM
Tusk told reporters in Lviv that, in a sense, Poland is also a "frontline state," exposed to "hybrid threats," and therefore unable to meet all of Ukraine's expectations.
"We cannot give everything," he said. "In a sense, we are also a frontline state. Poland is increasingly becoming a target of diversion, sabotage and hybrid actions aimed directly against our citizens and our country."
New border crossing between Poland and Ukraine
During the visit, Tusk announced the opening of a new border crossing between Poland and Ukraine in the coming days, Polish state news agency PAP reported.
"Apart from its practical value, it symbolizes our efforts for ordinary citizens who wish to benefit from such amenities before the holidays," he said.
'Extremely productive and good discussion': Ukraine's Zelensky
Zelensky, in a social media post, hailed "an extremely productive and good discussion" with Tusk, saying that bilateral relations "remain stable during such challenging times."
"It is crucial for Ukraine and Poland to be supportive of each other’s effort," Zelensky said, voicing hope that Poland's upcoming presidency of the European Union "can bring us significant progress towards EU membership."
He added: "I am grateful to Poland for supporting our aspiration to become a full member of NATO and to receive an invitation to join the Alliance as soon as possible. Poland understands how important it is for our part of Europe to ensure real security and eliminate any geopolitical uncertainty."
'Ukraine needs a just peace'
He revealed that he and Tusk "discussed in detail both the situation on the battlefield and in diplomacy."
"We share a common vision: Ukraine needs a just peace, must be strong, and requires further reinforcement," Zelensky said.
Russia invaded Ukraine by land, air and sea on February 24, 2022, starting the largest military conflict in Europe since World War II.
Tuesday is day 1,028 of Russia's war on Ukraine.
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Source: IAR, PAP, Reuters
Click on the audio player above for a report by Radio Poland's Michał Owczarek.