A note written by Albert Einstein to an Italian woman scientist who had declined to meet him sold at auction on Tuesday along with a batch of other letters left by the renowned physicist.

"To the scientific researcher, at whose feet I slept and sat for two full days, as a friendly souvenir," reads the note in his native German, signed and dated October 1921, which fetched $6,100 at Winner's Auctions & Exhibitions in Jerusalem.

The auction house said Einstein, then 42 and soon to win the Nobel Prize, wrote the letter to Elisabetta Piccini, a chemistry student half his age who lived one floor above his sister, Maja, in Florence.

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During a visit to the city, "Einstein was very interested in meeting her. However, Elisabetta was introverted and too shy to meet with such a famous person," Winner's said on its website.

Also sold on Tuesday for $103,000 was a 1928 note in which the auction house said Einstein outlined ideas for his "Third Stage of the Theory of Relativity". A 1946 English-language letter of encouragement that he penned to an American World War Two veteran who aspired to be a scientist also fetched $6,100.

Last October, Winner's sold another Einstein letter, a 1922 meditation on happiness that he wrote upon learning he had won the Nobel, for $1.3 million.