I seem to recall that there was a specific proponent of modalism during the Reformation, and that modalism was often referred to under his name, much as third-century modalism is referred to as "Sabellianism." Who was that man?
One source says Servetus was accused of maintaining Sabellian modalism, but that interpretation could flow simply from his anti-Trinitarianism, with Sabellianism being a convenient label. You might have to compare the actual teachings. Here's an article on the history of Sabellius: https://banneroftruth.org/us/resources/articles/2016/sabellianism/
There are a number of sources that suggest that Servetus held to a sort of modalism, with specifics involving the Son and the Spirit.
Socinianism, unlike Arianism, denies Christ's pre-existence (and, thus, His deity). Socinianism may be thought to have affinities with Ebionism in some ways (and thus dynamic monarchianism, or adoptionism), but not modal monarchianism (or Sabellianism).