This work is presented as part of a study to characterise the fracture behaviour of ultra-high performance fibre-reinforced concrete (UHPFRC) and analyses the results of two indirect tests by means of numerical simulations. In [1] it was assessed that a version of the Brazilian test with the adequate instrumentation can capture a local maximum close to the tensile strength of the reinforced material, conceived as the strength corresponding to initiation of cracking. A size-effect study of this test manifested the influence of the shape of the softening curve and a ratio of the brittleness length of the material and the specimen size on the local maximum [2]. In the current presentation, the results of three-point bending tests are analysed with the support of numerical simulations, since the base material turned out to be much more brittle than expected and the final part of the load-crack width curves could not be fully captured. For the simulations, elements with an embedded cohesive crack are used in which a bilinear softening curve with a tail much longer than that of ordinary concrete is considered to reproduce the contribution of the fibres. From this analysis the brittleness length of the material is inferred, which is used to estimate the error in the determination of the tensile strength from the Brazilian test. [1] B. Sanz, J. Planas, V. Rey-de-Pedraza, R. Sancho, J.M. Sancho, F. Gálvez, “Numerical and experimental study of initiation of cracking of UHPFRC by means of Brazilian tests”, Theor. Appl. Fract. Mech., 118, pp. 103276 (2022). [2] B. Sanz, J. Planas, J.M. Sancho, “Simulation of Brazilian tests of ultra-high performance fibre-reinforced concrete”, Computational Modelling of Concrete and Concrete Structures, 130--137, (2022).