The actress, who is known for her acting skills as well as supporting social and humanitarian causes, is seen in a white dress with a floral print during the meeting.
Modi, who is on a two-day visit to Germany, is in a black bandhgala.
Modi arrived in Berlin on Monday on the first leg of his six-day, four-nation tour of Europe. From Germany, Modi will travel to Spain, Russia and France.
Meanwhile, Priyanka, whose Hollywood debut film Baywatch opened internationally to mixed reviews, is enjoying a break in Berlin. Baywatch, also starring Dwayne Johnson and Zac Efron, is slated to release in India on June 2.