He then moved to Copenhagen, where he held a position at the city"s conservatory for two years. In 1881 he traveled to Moscow, and in 1882 he moved to Christiania, where he taught at a piano school for children. In 1883 he stayed in New New York
Neupert was regarded as an outstanding pianist and piano pedagogue, often compared to Franz Liszt.
He was now best remembered as the soloist at the world premiere of Edvard Grieg"s Piano Concerto in A minor. This occurred on 3 April 1869 in the Casino Concert Hall in Copenhagen, with the Royal Danish Orchestra conducted by Holger Simon Paulli.
The piano used for the performance was lent for the occasion by Anton Rubinstein, who attended the concert. Grieg himself was not present, due to commitments back home in Norway.
Neupert was also the dedicatee of the second edition of the concerto (Rikard Nordraak was the original dedicatee), and was said to have actually composed the cadenza in the first movement.
Among Neupert"s compositions, the 24 Concert-Etüden and the 24 Octav-Etüden are especially highly regarded.