Spam Links Attack, Negative SEO?

[Kingalan1]

Last April we migrated our old domain www.nyc-officespace-leader.com to a new domain www.metro-manhattan.com. The old domain has been receiving numerous links from very spammy sites such as these:

-adinternet.net/the_worlds_most_visited_web_pages_958.htm

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| -www.online-advertisement.net/the_worlds_most_visited_web_pages_958.html |

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| www.webfind.org/the_worlds_most_visited_web_pages_958/ |

Since the old domain redirects to our new domain we are concerned this could be very detrimental. Oddly enough the 50-100 spammy domains that link to us all are a site called: "http://theglobe.se/start/" when the linking domain is entered in the browser.

What should we do? Should we disavow these links? Is this some kind of an attack?

Would very much appreciate some input/advice.

Thank, 
Alan

[GastonRiera]

Hello Kingalan1,

This issue with spammy links from Globe sites has been reported before, here: 
The Globe - Spam Link Network. Should action be taken to remove these links? - Moz Q&A forum

TL;DR;
I wouldn't worry that much for those links as long as you find them spammy probably google will consider them as spam and don't consider them when ranking your page.
Only if you consider that those links are hurting your rankings use the disavow tool.

Long explanation:
On one hand, Google (though their spokesman) said that the algorithm is pretty good finding and diminishing the strength of spammy links. So, if you talk to someone from Google right now, they might said: leave them, probably the algorithm will consider those as spammy and there will be no harm.

On the other hand, If you are absolutely sure that those links are spammy and malicious... then go ahead and disavow them. Remember that it's possible to disavow an entire domain.
More info here: Disavow backlinks - Search Console Help

Hope it helps.
Best luck
GR