Answer by taking a quote from the following article:

Anton Grigorevich Rubinstein (Russian: Anton Grigor'evich Rubinshtein, tr. Anton Grigorevich Rubinshteyn; November 28 [O.S. November 16] 1829 - November 20 [O.S. November 8] 1894) was a Russian pianist, composer and conductor who became a pivotal figure in Russian culture when he founded the Saint Petersburg Conservatory. He was the elder brother of Nikolai Rubinstein who founded the Moscow Conservatory. As a pianist, Rubinstein ranks among the great 19th-century keyboard virtuosos.

Rubinstein was born to Jewish parents in the village of Vikhvatinets in the Podolia Governorate, Russian Empire (now known as Ofatinti in Transnistria, Republic of Moldova), on the Dniestr River, about 150 kilometres (93 mi) northwest of Odessa. Before he was 5 years old, his paternal grandfather ordered all members of the Rubinstein family to convert from Judaism to Russian Orthodoxy. Although he was raised as a Christian, Rubinstein would later return to being atheist.  Rubinstein's father opened a pencil factory in Moscow. His mother, a competent musician, began giving him piano lessons at five, until the teacher Alexander Villoing heard and accepted Rubinstein as a non-paying student. Rubinstein made his first public appearance at a charity benefit concert at the age of nine. Later that year Rubinstein's mother sent him, accompanied by Villoing, to Paris where he sought unsuccessfully to enroll at the Paris Conservatoire.  Rubinstein and Villoing remained in Paris for a year. In December 1840, Rubinstein played in the Salle Erard for an audience that included Frederic Chopin and Franz Liszt. Chopin invited Rubinstein to his studio and played for him. Liszt advised Villoing to take him to Germany to study composition; however, Villoing took Rubinstein on an extended concert tour of Europe and Western Russia. They finally returned to Moscow in June 1843. Determined to raise money to further the musical careers of both Anton and his younger brother Nikolai, their mother sent Rubinstein and Villoing on a tour of Russia, following which the brothers were dispatched to Saint Petersburg to play for Tsar Nicholas I and the Imperial family at the Winter Palace. Anton was 14 years old; Nikolai was eight.

what songs did he play
Chopin invited Rubinstein to his studio and played for him.