The fundamental metrological concept "traceability" is considered as a key notion for the measurement quality description and ensuring. The essential restrictions of the modern concept "traceability" are revealed, and some possible directions for its extending are outlined. A detailed analysis of measurement quality is presented, which is based on thorough decomposition of measurement errors. It is also proposed to introduce a basic concept of "measurement quality". The basic notions are demonstrated on the practical example of the measurement control of the geometrical parameters for work pieces.