Peter Grum was born in 1981. He holds a Master's degree in Law. He worked at the Financial Administration of the Republic of Slovenia and its predecessor, the Tax Administration of the Republic of Slovenia, for 14 years, from 2006 to 2020.

He joined the Tax Administration (Tax Office Ljubljana) in 2006 as a trainee in the Legal Department. He then worked at the General Tax Office in the Income Tax and Contributions Department and in the Director-General's Office. In 2011, he headed the Tax Finance Sector in the Tax Accounting and Finance Administration. In 2012, he became Head of the Director-General's Office at the General Tax Office and in 2014 Deputy Director-General of the Tax Administration. He held this position until October 2020, when he became Director-General of the Information Technology Directorate at the Ministry of Public Administration. He held this post until 10 June 2022, when he became Acting Director-General of the Financial Administration. He has been appointed by the Government as Director-General of the Financial Administration for a five-year term, starting on 10 December 2022 and ending on 9 December 2027, with the possibility of reappointment.

At the Financial Administration (or previously the Tax Administration), he led a number of working groups which dealt with, among other, the overhaul of the Tax Administration's IT system, the creation of an integrity plan for the Financial Administration, the introduction of tax cash registers, the reorganisation of the Financial Administration, and the launch of the eDavki (eTaxes) mobile application. During the period of the COVID pandemic, he led various projects to set up financial assistance for taxpayers and was also one of the key players in setting up the tourist voucher redemption system.