You should just leave url empty and use the x-editable success-callback, if you want to use backbone's one model.save. Eg. in the view's render-method, you have to set update your model and trigger save (manually or by change-handler for the model)
this.$el.find("#my-field").editable({
type : 'text',
name : myFieldTitle,
value : myCurrentValue,
pk : this.model.get('id'),
url : '',
success : function(response, newValue) {
self.model.set(field.name, newValue);
self.model.save(field.name, newValue);
}
});