Eskin, who arrived on Monday, is here to meet a "variety of Afrikaner organisations and dissidents", including members of the Pro-Afrikaans Action Group and of the right-wing group the Boeremag.
In a statement issued on behalf of himself and action group leader Dan Roodt yesterday, Eskin expressed his contempt for "the anti-Semitic and anti-Afrikaner fascist Desmond Tutu, who first prepared the way for Afrikaner genocide with his flawed and one-sided Truth Commission, and who is now fomenting anti-Jewish hatred with his calls for economic, cultural and academic boycotts of Israel".
Tutu could not be reached for comment yesterday.
Earlier this year, a petition signed by Tutu and more than 100 other well-known South Africans, including Kader Asmal, Allan Boesak, Breyten Breytenbach and Antjie Krog, called on the University of Johannesburg to end its relationship with Ben-Gurion University, in Israel, because of its support for, and involvement with, the Israeli military.
Roodt told The Times that Eskin's visit would strengthen communication between Afrikaners and Israelis and help them to establish a joint "strategy going forward".
Eskin is known for his extreme political views and actions.
Roodt said Eskin was reciprocating a visit he had made to Israel in July.
"We had a number of discussions and they [Israel] are sympathetic about our situation. We began exchanging ideas."
The Pro-Afrikaans Action Group has about 5000 members and advocates for Afrikaners "self-determination and a volkstaat". Eskin supports these objectives.
Roodt said "there is a sense among Afrikaners that something needs to happen. People are getting frustrated."
He said Afrikaners face both language discrimination and racial discrimination as the government became "more radical".