Wrote Letter L-331 of sometime between late December 1697 and mid-January to Johan Arnoldi about the book that Magliabechi had sent

January 1, 1698
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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.