"Multivariate" means more than one dependent variable. Did you mean multivariable? What do you mean "have got a significant model"? Were all the variables in the model pre-specified? More to your question, see for example http://biostat.mc.vanderbilt.edu/rms; the basic idea is to vary one predictor at a time, hold other predictors constant, and plot the predicted log odds of $Y=1$ vs. the varied predictor.

"Multivariate" means more than one dependent variable. Did you mean multivariable? What do you mean "have got a significant model"? Were all the variables in the model pre-specified? More to your question, see for example http://biostat.mc.vanderbilt.edu/rms; the basic idea is to vary one predictor at a time, hold other predictors constant, and plot the predicted log odds of $Y=1$ vs. the varied predictor. When doing so, it does not matter what values you adjust non-plotted predictors to. I use the median of continuous variables and mode of categorical ones. When transforming the predictions to be on the probability scale, it matters more what are the predictor settings for the non-varying predictor. You can still use the median/mode but it may be worth plotting for other settings.