Context. High resolution X-ray spectra of neutron star Low Mass X-ray Binaries (LMXBs) in the energy range 6.4-6.97 keV, are often characterized by the presence of Kα transition features of iron at different ionization stages. Since these lines are thought to originate by reflection of the primary Comptonization spectrum over the accretion disk, the study of these features allows us to investigate the structure of the accretion flow close to the central source. Thus, the study of these features gives us important physical information on the system parameters and geometry. Ser X-1 is a well studied LMXB which clearly shows a broad iron line. Several attempts to fit this feature as a smeared reflection feature have been performed on XMM-Newton, Suzaku, NuSTAR, and, more recently, on Chandra data, finding different results for the inner radius of the disk and other reflection or smearing parameters. For instance, Miller et al. (2013) have presented broad-band, high quality NuSTAR data of Ser X-1. Using relativistically smeared self-consistent reflection models, they find a value of R in close to 1.0 R IS CO (corresponding to 6 R g , where R g is the Gravitational radius, defined as usual2 ), and a low inclination angle of less than ∼ 10• . Aims. The aim of this paper is to probe to what extent the choice of reflection and continuum models (and uncertainties therein) can affect the conclusions about the disk parameters inferred from the reflection component. To this aim we re-analyze all the available public NuSTAR and XMM-Newton which have the best sensitivity at the iron line energy observations of Ser X-1. Ser X-1 is a well studied source, its spectrum has been observed by several instruments, and is therefore one of the best sources for this study. Methods. We use slightly different continuum and reflection models with respect to those adopted in literature for this source. In particular we fit the iron line and other reflection features with self-consistent reflection models as reflionx (with a power-law illuminating continuum modified with a high energy cutoff to mimic the shape of the incident Comptonization spectrum) and rfxconv. With these models we fit NuSTAR and XMM-Newton spectra yielding consistent spectral results. Results. Our results are in line with those already found by Miller et al. (2013) but less extreme. In particular, we find the inner disk radius at ∼ 13 R g and an inclination angle with respect to the line of sight of ∼ 27• . We conclude that, while the choice of the reflection model has little impact on the disk parameters, as soon as a self-consistent model is used, the choice of the continuum model can be important in the precise determination of the disk parameters from the reflection component. Hence broad-band X-ray spectra are highly preferable to constrain the continuum and disk parameters.