A member of the State Duma Defense Committee said talks should resume before the 'special military operation' in Ukraine ends.
The mission said the vote was held at a high organizational level and in compliance with Russian electoral law, according to its assessment.
A presidential decree has set September 30 for the first meeting of the State Duma elected earlier this month.
Central Election Commission chairwoman Ella Pamfilova said more than 67.4 million people cast ballots.
The former Russian president cited the ruling party's roughly 58% vote share in projecting a strong majority in the incoming State Duma.
Russian state media reports that more than 82% of residents in the Donetsk People's Republic took part in the three-day State Duma election held September 18-20.
The two leaders discussed the allied relationship between Russia and Uzbekistan during a phone call, according to the Kremlin.
TASS reports turnout in the parliamentary election exceeded 59 percent, with more than 62 million ballots cast.
TASS says the 9th State Duma elections were held over a three-day voting period ending September 20.
The pro-Kremlin party won a record 355 of 450 seats in a vote criticized as tightly controlled, The Guardian reports.
An observer from the Shanghai Cooperation Organisation said Russia's parliamentary elections complied with national and international standards, according to TASS.
TASS's Monday review highlights domestic political coverage alongside reports on rising fuel costs in Europe.
Central Election Commission head Ella Pamfilova said the vote's infrastructure withstood mass cyberattacks during the multi-day balloting.
The Communist Party trailed with 14.2%, followed by the LDPR, New People, and A Just Russia, according to VCIOM figures cited by TASS.
Deputy Foreign Minister Yevgeny Ivanov said a campaign by the opposition to paralyze polling stations with mass gatherings did not succeed, according to TASS.
Central Election Commission data show turnout ahead of the 1993, 2016 and 2021 figures as voting continued.
The foreign ministry spokeswoman commented on the ongoing State Duma election, according to TASS.
Foreign ministry spokeswoman Maria Zakharova said election officials held 120 mobile early voting sessions, according to TASS.
Russia’s Central Election Commission said voter turnout had surpassed 32.58% as of 2:00 p.m. Moscow time on election day.
A Russian-installed election commission head said turnout was strong on the first day of a multi-day vote for Russia's State Duma in the Kherson Region, territory Moscow claims to have annexed from Ukraine.