Official Ruling
No, you can't.If Digimon with the [Blue Flare] and [Twilight] traits are played by separate effects, this card's effect will separately trigger for each trait.Because of the rule that states that an effect triggered afterward will take precedence for activation, for the situation stated in your question, ""return 1 Digimon card with DigiXros requirements from your trash to your hand"" will activate by playing the Digimon with the [Twilight] trait, but because the effect is a [Once Per Turn] effect, <Draw 1> doesn't activate by playing the Digimon with the [Blue Flare] trait.
Source: EX4-014 Gaossmon