Germany Updated their page
I cannot get a national passport from my country of origin but I do hold a “Travel Document for Refugees”. Can I use this document to travel to Germany?
Holders of the “Refugee Travel Document” (Form I-571) which is issued by the United States Department of Homeland Security (DHS) are not required to obtain a visa to enter the Federal Republic of Germany for purposes of business, tourism, or to visit friends if they stay no longer than 90 days. The Travel Document must be valid for at least four months after entering Germany.
Please be advised that this regulation applies to Germany only. If you plan to transit or travel to other Schengen countries you have to contact the responsible consular mission of the respective countries to find out about their visa regulations. Please also note that holders of the very similar document called “Permit to Re-Enter” (Form I-327) do not fall under this rule. Holders of a “Permit to Re-Enter” must apply for a visa.
If you are in doubt whether you are a holder of a “Permit to Re-Enter” or a “Refugee Travel Document” please refer to the data page of the document in your possession issued by DHS. More information on the type of document issued to you can be found above and below the photo in your document.
https://www.germany.info/us-en/service/05-VisaEinreise/faq-visa/899734
Italy appears to have no exceptions and requires all persons traveling on refugee travel documents to apply for a visa. (Italy is also having a major issue with refugees right now and there have been some political noises about cracking down on them.) the link from EU says it even ended Visa-free privileges for UK RTD - March 2019
https://www.esteri.it/mae/en/servizi/stranieri/ingressosoggiornoinitalia/passaporti_documenti.html
https://www.coe.int/en/web/conventi...tions/treaty/031/declarations?p_auth=m1qqkljJ
According to
this official document (in French), among Schengen countries, US refugee travel documents are accepted for visa-free short term travel to Belgium, Croatia, Germany, Hungary, the Netherlands, and Slovakia.