T1 mapping provides valuable information regarding cardiovascular pathologies. Clinical approach consists of using a Cartesian MOLLI sequence and fitting a 3-parameter model. Although easy and straightforward, this method can require long breath-holds and does not explicitly include other factors affecting T1 estimation. We propose coupling an accelerated golden-angle radial MOLLI with a model-based regularized reconstruction (SALSA). The proposed method was tested in phantom and in vivo data at 1.5T. Improved T1 precision and good accuracy was found for the phantom data. Lower T1 was estimated with SALSA compared to the commercial sequence in vivo, future work will address this.