Speaking at the tournament Mr Navalny urged protesters: "We can stamp them that is a unhealthy sport".
The refusal to register the opposition sparked fury among the independent candidates and many liberal Russians, with Sobol, a 31-year-old lawyer and Navalny ally, launching a hunger strike last week.
Organisers acknowledged on Fb that they were protesting for a Russian Federation "without bandits, fraudsters, swindlers and thieves".
Police, which downplay turnout at opposition rallies, said 12,000 turned up.
Moscow police said the protest was sanctioned and no arrests were reported.
The July 20 protest is the latest sign that Russian citizens are willing to take to the streets to express their discontent over a host of issues, ranging from elections to low living standards and local problems like garbage.
Alexi Navalny, Russia's most prominent opposition figure, told the crowd that if the barred candidates were not allowed to register by next Saturday, he would call for protests at the office of Moscow's mayor and "we won't leave".
White Counter, an NGO that tracks participation in protest rallies, said about 21,500 people took part in Saturday's rally.
Volvo recalls 86,000 cars in Sweden
In the worst-case scenario, the problem could lead to engines catching fire, the spokesman said on Saturday. Volvo is recalling nearly 70,000 cars in the United Kingdom over concerns that they could catch fire.
The protests attain amid a tumble in approval rankings for Mr Putin and enrage over declining living requirements and in model corruption.
They were made to jump through countless hoops, with each having to collect 5,000 signatures from supporters to be eligible.
At Saturday's rally, some protesters waved their passports in the air, chanting "We have come!"
Greg Yudin, a lecturer at the Higher School of Economics, said he and many other Muscovites discovered that their signatures were declared fake.
"But we had sympathized with him (Trump), because he said that he wanted to restore normal relations with Russian Federation".
Political observer Kirill Rogov said the independent candidates' exclusion was "one of the largest frauds in Russia's electoral history".
Some 7.2 million Muscovites are eligible to elect 45 lawmakers to the local parliament, now dominated by the United Russia ruling party.
Ramaphosa asserted that he's merely exercising his legal right to have a court of law review the findings. Reacting to the judgement on Monday, she noted that the court had not been unanimous, our reporter says.
Israel is widely perceived as the Middle East's sole nuclear-armed power, though it has never acknowledged the capability. Over the past year, he has resisted calls by hardline constituents to strike harder against jihadist groups in Gaza.
Benjamin Castaldi n'en dit pas plus dans son tweet. "Tout va bien, aucune inquiétude à avoir", leur a-t-il répondu. En vacances dans le sud-est de la Corse , Benjamin Castaldi a eu un accident en plongeant.
Report mainly focus on overview in Global Ice Cream Machine Market , especially report covers dynamics of the industry . Once you've added in your mix-ins, simply return the pan to the freezer so the ice cream can continue to set.
On Monday, Modi tweeted an image of himself following the Chandrayaan-2 event on a television screen and applauding the liftoff. In addition to a small rover , the Indian lander will carry 14 scientific payloads.
L'appartement parisien de l'actrice Clotilde Courau et de son mari, le prince Emmanuel-Philibert de Savoie, a été cambriolé. Ce seraient en partie des bijoux de grande valeur qui auraient fait l'objet de ce larcin.
A police spokeswoman said police had established a perimeter around the centre and were dealing with an unfolding situation. At about 8.30pm on Sunday, a group of youths went on a rampage at the Frank Baxter Juvenile Detention Centre at Kariong.
Nicolas Hulot appelle les députés à ne pas ratifier le Ceta
L'ancien ministre de l'Écologie " a raison d'insister sur la gravité de l'enjeu ", a ajouté la présidente de Génération écologie. Nicolas Hulot alerte sur une déréglementation européenne en matière écologique, en prenant des exemples concrets.
Whirlpool recalls tumble dryers over fire safety fears
In another statement, he said: "People's safety is our top priority which is why we are expanding this important campaign". Consumers can check if their dryer is one of those affected by calling 0800 151 0905 or visiting Whirlpool's website.
Le jackpot pour De Gea — Manchester United
Chaque mercato , le Red Devil est annoncé sur le départ, cependant, son club a toujours trouvé les arguments pour le retenir. Le Sunday Telegraph annonce la prolongation imminente de David De Gea avec Manchester United.