Wrote Letter L-331 of sometime between late December 1697 and mid-January to Johan Arnoldi about the book that Magliabechi had sent
Listing of the letter in the original Dutch and in English translation from Alle de Brieven. The Collected Letters at the DBNL - De Digitale Bibliotheek voor de Nederlandse Letteren
There is no manuscript. This letter is known only by reference in another letter.
In Letter L-336 of 20 February 1698 to Antonio Magliabechi, Leeuwenhoek wrote:
I am bound to inform You in this letter that Mr J. Arnoldi wrote to me on 15 January 1698 from Brussels.
A few paragraphs later, he wrote:
Thereupon I wrote again to the Noble Mr Arnoldi.
"Wrote again" implies that Leeuwenhoek initiated the correspondence sometime before 15 January 1698.