On Monday, the 30-year-old actress acknowledged "personal matters" between herself and Tarabosov, after deleting her previous posts putting him on blast.
"I would appreciate if these speculations regarding my personal life would respectfully come to a halt," Logan Instagrammed alongside a picture of clouds in the shape of a heart. "Unfortunately, a private matter has become more public than I can control and I would be extremely grateful if my fiancé and myself could discuss our personal matters on our own. There are more important things going on in the world than our relationship. Please leave us be to solve our personal matters."
Tarabasov has not been back to Lohan's London home since Saturday morning, and has had no contact with Lohan since, a source tells ET. According to the source, Lohan has also employed a bodyguard to watch the house while she's away so Tarabasov cannot enter, and replaced the locks on the home on Monday.
Still, it appears the couple is on. Lohan was snapped solo at Heathrow Airport in London on Sunday night -- still wearing her engagement ring -- and hiding under a shirt prominently featuring words from E.E. Cummings' poem "May I Feel Said He." Wearing a black Givenchy hat, sunglasses, and covering her face with the large black T-shirt, Lohan attempted to go incognito, sending a message with her T-shirt.
"Let's go said he/not too far said she/what's too far said he/where you are said she," the text reads, an excerpt from Cummings' famous poem.
On Saturday, Lohan accused Tarabasov of "not coming home tonight" in one Instagram post, and then shared another photo of her fiancé at a party, accusing him of being with another woman. She followed it up with video of her fiancé in a club, which she captioned, "Home?"
In another tweet, she implied she was pregnant, linking to an image of herself from her 2009 film Labor Pains.
On Monday, Dasha Pashevkina -- the woman who Lohan accused of being with Tarabasov in the now deleted Instagram post -- said she was a "good friend" to both Lohan and Tarabasov, and addressed the "rumors and lies" in a lengthy Instagram post.
"Amongst all those rumors and lies I do not think I should have to explain myself, but since the words thrown my way are hurting my family and loved ones I find it is important to write this post," Pashevkina wrote. "Firstly, I considered myself a good friend of Lindsay Lohan since the first time we met. Secondly, I was the one who introduced her to my old and good friend Egor Tarabasov, and I genuinely wish they find happiness once again."
"And finally, I would like all the media to stop harassing me and asking for comments as there is absolutely nothing to those pictures or rumors," she added. "I intend to press charges as these lies represent the defamation of character and disclosing my personal contact details and address is illegal. There are so many more important things happening in this world which require our attention."
Just last month, it appeared to be all good between Lohan and 22-year-old Tarabasov, when they celebrated her 30th birthday on the Greek island of Mykonos.
"Lindsay, you mean -- you're the most important thing in my life," the Russian businessman said in one video taken during her big bash.