Tusk said he made the offer after Tuesday's meeting of the National Security Council, which he attended together with Nawrocki, senior government ministers, parliamentary leaders and military commanders to discuss Poland’s security and the establishment of a possible permanent US military base in the country.
An ongoing dispute over Poland's constitutional court was also in focus.
Tusk said the meeting had produced "quite promising" results, particularly on the prospect of establishing a permanent US military presence in Poland.
"After a lengthy discussion, we agreed that the main centres of power, including the president and the government, must continue working together," Tusk said.
"Our task is to bring this project to a successful conclusion—that is, a permanent presence of US troops in Poland," he added.
He said there was broad agreement on maintaining and strengthening the US military presence in the country.
Tusk also said Gen. Wiesław Kukuła, chief of the General Staff of the Polish Armed Forces, had briefed the gathering on "various threats linked to Russia’s aggressive policies" and warnings from security services.
He said the information made it particularly important for Poland to prepare for the coming autumn and winter, with the safety of citizens and the state as priorities.
The geopolitical situation, Russia’s actions and warnings from intelligence and security services in Poland and other countries made it necessary to unite political leaders and society around security issues, Tusk said.
"Fortunately, there is no disagreement on this," he said, while acknowledging concerns about how well prepared Poland was and what scenarios it might face.
Tusk’s offer of a private meeting came amid a growing dispute between the government and the president over the Constitutional Tribunal.
Before the meeting, Nawrocki said Poland was in a "serious constitutional crisis" because of the government's actions toward the top court, and said there were "grounds for the most serious allegations of illegality."
Tusk said the aim should not be for either side to claim victory or humiliate the other.
"I also offered the president a meeting one-on-one this week so that we could consider how to reduce these tensions permanently," he said.
Tusk acknowledged that he and Nawrocki were likely to maintain their differing views on many issues, but said they shared a responsibility to seek agreement wherever possible "in the face of growing threats from the East."
Tusk said he wanted to calm tensions and avoid further confrontation.
He described Nawrocki’s opening remarks at the meeting as unnecessarily confrontational and "very interesting, with one small flaw—they had nothing to do with reality."
Tusk said the proposed private meeting would not be announced in advance, as he wanted to talk with Nawrocki "without media pressure" or political tensions.
"Sometimes a face-to-face conversation, in a calm atmosphere, can produce solutions," he said.
He acknowledged that "a solution to the dispute over the Constitutional Tribunal that would satisfy all sides might not be possible at present." But he said an honest discussion could still help prevent further escalation and potentially produce "an arrangement acceptable to everyone."
Tusk said he believed he and Nawrocki should work together on a lasting basis to protect Poland’s security, ease tensions and avoid internal conflicts.
"I will do everything in my power to ensure that the situation in Poland is stable and that we can focus on our work and our responsibilities," he said.
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Source: IAR/PAP, TVP Info