The English actor was seen posing for reporters at a hotel on Tuesday alongside some of his co-stars, including German actor Moritz Bleibtreu and Austria's Johannes Krisch.
"360" follows a chain reaction of events which start when Law's character, an Englishman in Vienna on business, is stopped from seeing a prostitute, described screenwriter Peter Morgan.
Law described the script as "really interesting, diverse and challenging."
The movie also stars Anthony Hopkins and Rachel Weisz and is inspired by Arthur Schnitzler's play "Reigen," or "La Ronde."
The Associated Press contributed to this report.