Software process standards (e.g. ISO/IEC 12207, ISO/IEC 15504) and models (e.g. CMMI) provide a set of best practices and guidelines for improving the quality of the software process and products resulting from that process. However, they do not prescribe a particular software development methodology (i.e. RUP, MSF), and thus software development teams face a compliance problem between the selected development methodology and a pursued particular standard or model. In this research, the particular issue of compliance of Agile Software Development Methodologies (SCRUM, XP, and UPEDU) and the new ISO/IEC 29110 standard is studied. Because the new standard is focused on the software process in very small software development companies or small software project teams in the range from 1 to 25 people, and the Agile Software Development Methodologies (ASDMs) are primarily for same targets, this study is important. The ISO/IEC 29110 standard contains two processes: Project Management and Software Implementation. This study is focused on the first process. The main findings indicate that the UPEDU and SCRUM methodologies present and high compliance level with the ISO/IEC 29110 Project Management process, while XP has a moderate level. Thus, software developer teams interested in achieving compliance with the ISO/IEC 29110 Project Management process can count with two ASDMs. However, a full compliance study (with both Project Management and Software Implementation) is still missing.