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Combining the measurements from spectroscopy and asteroseismology allows us to attain greater accuracy with regard to the stellar parameters needed to characterise the stellar populations of the Milky Way.<\/jats:p>\n<jats:p><jats:italic>Aims.<\/jats:italic> The aim of this <jats:italic>Gaia<\/jats:italic>-ESO Survey special project is to produce a catalogue of self-consistent stellar parameters by combining measurements from high-resolution spectroscopy and precision asteroseismology.<\/jats:p>\n<jats:p><jats:italic>Methods.<\/jats:italic> We carried out an iterative analysis of 90 K2@<jats:italic>Gaia<\/jats:italic>-ESO red giants. The spectroscopic values of <jats:italic>T<\/jats:italic><jats:sub>eff<\/jats:sub> were used as input in the seismic analysis to obtain log\u2006<jats:italic>g<\/jats:italic> values. The seismic estimates of log\u2006<jats:italic>g<\/jats:italic> were then used to re-determine the spectroscopic values of <jats:italic>T<\/jats:italic><jats:sub>eff<\/jats:sub> and [Fe\/H]. Only one iteration was required to obtain parameters that are in good agreement for both methods and, thus, to obtain the final stellar parameters. A detailed analysis of outliers was carried out to ensure a robust determination of the parameters. The results were then combined with <jats:italic>Gaia<\/jats:italic> DR2 data to compare the seismic log\u2006<jats:italic>g<\/jats:italic> with a parallax-based log\u2006<jats:italic>g<\/jats:italic> and to investigate instances of variations in the velocity and possible binaries within the dataset.<\/jats:p>\n<jats:p><jats:italic>Results.<\/jats:italic> This analysis produced a high-quality catalogue of stellar parameters for 90 red giant stars from K2@<jats:italic>Gaia<\/jats:italic>-ESO that were determined through iterations between spectroscopy and asteroseismology. We compared the seismic gravities with those based on <jats:italic>Gaia<\/jats:italic> parallaxes to find an offset which is similar to other studies that have used asteroseismology. 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