The top diplomats of the seven leading industrial nations have gathered in the northern German port city of Luebeck for two days of talks.
Host Frank-Walter Steinmeier said on April 14 that the G7 foreign ministers would look to build on recent progress on the Ukraine crisis and Iran's nuclear program.
The G7 includes Britain, Canada, France, Germany, Italy, Japan, and the United States.
Formerly the G8, the grouping was reduced to seven members after Russia's annexation of Crimea in March 2014.
Ahead of the G7 meeting, Steinmeier pinned Russia's chances of returning to the group on an end to the conflict in Ukraine.
Moscow must help to ensure the "Ukraine conflict moves closer to a solution," he said.
Steinmeier added that Russia needs "very urgently" to set a new course to deal with other conflicts such as in Syria and Iran.
Based on reporting by AFP, Reuters, and dpa