Remove trail renderer delay

How would I go about removing the starting delay on the trail renderer? I want a trail for a particle (for a spell) that has a trail, but the trail should look like it’s attached to the main particle, instead of the trail being miles behind the main particle and there being a space between the two.

Can this even be done?
And if not, how can I make this effect? (Tutorials are appreciated)

If you un-assign the trail material you can see that the (now purple) trails are attached right on the source particles. Your texture for trail material likely has gap between the left canvas edge and the nearest visible pixel, IOW the left edge of the texture is the head of the trail, this principle also applies to texture for stretched billboard mode of particles.
Another possible cause is that the beginning of the “color over trail” gradient begins with low alpha (opacity) value.