President Aliyev argued that some members of the Minsk Group were geographically too far away from the region, referring to France and the US, saying Turkey should contribute to the process.
President Ilham Aliyev says missiles were launched from Armenia's Vardenis district, away from contested Karabakh region, raising civilian death toll to 41 with over 200 people wounded.
Ottawa has one rule for Turkey and another for Saudi Arabia, which has killed thousands in Yemen.
Azerbaijan says at least four cities outside the occupied Karabakh conflict zone are being attacked by Armenian forces.
Armenian soldiers hit Azerbaijan's second-largest city, Ganja, away from the flashpoint occupied Karabakh region, with Baku threatening retaliation.
The rival Caucasus nations have been locked in some of the fiercest clashes over Karabakh after it was occupied by Armenians in the 1990s after the collapse of the Soviet Union.
Azerbaijan and Armenia are accusing one another of firing directly into each other's territory and reject pressure to hold peace talks.
Authorities in Armenia-occupied Karabakh say more than 100 fighters were also wounded in clashes with Azerbaijan's soldiers. Separately, Baku says it has captured seven of its Armenian-occupied villages in heavy fighting.
Officials in Baku and Yerevan confirmed shelling with large-calibre weapons and said fighting was ongoing near the border in the Tavush region.
Candidates from the governing Yeni Azerbaijan (New Azerbaijan) party win about 65 of 125 seats in the single-chamber parliament, Mazahir Panakhov, the Central Election Commission (CEC) head, said after counting the results from around 110 districts.
Azerbaijan's parliamentary election is seen as next step by President Ilham Aliyev to consolidate power and create a younger, more dynamic parliament to push forward economic reforms.
Turkey's President Recep Tayyip Erdogan has said the TANAP project is to supply 16 billion cubic metres of Azeri natural gas to Turkey and Europe.
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