The phrase "to give further details" means to provide additional information or clarification about something that has already been mentioned. Full definition
The recipes and brewing processes we have developed are commercially confidential and we can not give you any further details about them. (bellfieldbrewery.com)
I can answer your question, but I need to know if the full article gives any further detail on sources. (money.stackexchange.com)
The minister has given further details of financial incentives for universities to improve teaching. (bbc.co.uk)