Were 19th century democratic socialists the same as social democrats?

I have been reading The Complete Works of Malatesta and through that, I learned that a lot of people identified as ‘democratic socialists’ in Italy in the 19th century. I know that even Marx talks about democratic socialists in some of his writings and criticizes them. This has me wondering if that label was what social democrats called themselves at the time, or if they were different from social democrats. And if the latter is the case, how did they differentiate themselves from social democrats?