@Zackarias Aitchison as @Theo Hicks mentioned you will want to add value to a syndicator wether that's money, etc.
Let's assume you want to go the FREE route.
As mentioned before, you'll want to target a syndicator who's actively doing deals and then add value.
Value Add Ideas:
1. Social Media- a lot of syndicators are lacking in this area. Like prior posts and leave engaging comments on all posts. Syndicators will take a notice to people who are constantly commenting on their post's. This includes blog posts on websites as well. In fact this could be a better approach because the comments are less and yours will stand out.
Over time, reach out and then offer your services for free to the syndicator
2. Underwriting- Speak with a syndicator and ask them what their investment criteria is. Then when you come across a deal that fits, underwrite the deal and present it to them.
3. Capital- Every syndicator is always on the hunt for capital. If you're able to bring some to the deal, you will definitely stand out.
4. Podcasts- Help book the syndicator on other real estate, entrepreneur, and business podcasts.
The point of this is to always be adding value. Then after you've added value and have developed a relationship, it might be appropriate to ask about a mentorship.
Just remember, value, value, value. Make it more about them and less about you and you should be golden.
I have some more ideas as well. Let me know if you're interested.