This paper presents the outcome of a research study carried out to assess the eccentric compression behaviour of reinforced concrete block masonry (RM) walls. The design provisions pertaining to axial compression capacity of RM walls are overly conservative, especially where slender walls are to be designed. To verify the relevancy of the design provisions outlined in the Australian masonry standards (AS 3700), an experimental database of RM walls tested under eccentric compression was created by gathering data from the past studies. In total, 76 partially grouted (PG) and 18 fully grouted (FG) RM wall test data were gathered. The established database revealed that the performance of fully grouted (FG-RM) walls are generally overlooked. To fill this gap, a finite element (FE) based numerical modelling procedure was established to understand the performance of FG-RM walls under eccentric compression. The established FE modelling procedure was validated with a set of experimental results and the validated modelling procedure was then used to parametrically analyse the eccentric compression behaviour of FG-RM walls. In total, 72 FG-RM wall cases were numerically simulated under eccentric compression, varying slenderness ratios (15, 21, 26, 32, 37, and 42), grout strengths (20 MPa, 30 MPa and 40 MPa) and boundary conditions (pinned-pinned and fixed-fixed). The analysed numerical data along with the experimental database were then used to verify the design provisions outlined in previous version of AS 3700 (2011) and current version of AS 3700 (2018). It was found that the provisions specified in AS 3700 (2011) were overly conservative than the AS 3700 (2018), justifying the need of deliberate revisions in terms of the treatment of slenderness, eccentricity and grout strength for designing the RM walls under compression.