Buy Dior Sauvage if you want one fragrance that works everywhere. Buy Versace Eros if you want compliments on a night out and you already own something for daytime. That is the whole answer; everything below is why.
These two end up on the same shortlist constantly, and the reason is circumstantial rather than olfactory - they are the two best-selling designer masculines of the last decade, they cost roughly the same, and they both perform far better than an eau de toilette usually does. In character they are close to opposites.
How they actually smell
Sauvage is cool and dry. Calabrian bergamot with a peppery snap up top, Sichuan and pink pepper with lavender and geranium in the heart, and a base of ambroxan, cedar and labdanum. Strip it back and it is bergamot plus a very large dose of ambroxan - clean, radiant, slightly mineral, and a little synthetic in a way many people find addictive.
Eros is bright then warm. Mint, green apple and lemon open it - an almost icy first impression - before tonka, ambroxan and geranium bring sweetness in, landing on Madagascar vanilla, cedar, vetiver and oakmoss. It is a sweet fragrance wearing a fresh opening.
The practical difference: Sauvage smells like clean air and pepper; Eros smells like mint and vanilla. If you handed both to someone who knows nothing about fragrance, they would not guess these two are ever compared.
Performance: close to a tie
Both are unusually strong for EDT concentration, and both owe that partly to ambroxan. Community reports put both in the eight-hour-plus range with heavy early projection - we have not lab-timed either, and anyone quoting you a precise number has not either. In practice Sauvage projects a little further and Eros clings a little longer in the sweet dry-down, but the gap is small enough that performance should not decide this for you. Both belong in the conversation on our longest-lasting roundup.
Where each one wins
Work: Sauvage, comfortably - and even then, sparingly. Eros is too sweet and too loud for a shared office, and neither is our first choice there; see the office roundup.
Summer:Sauvage. Eros's vanilla base turns heavy in heat, while Sauvage's dry freshness holds up better - though both are beaten by dedicated aquatics in our summer roundup.
Date night: Eros. Warmth and sweetness do more at conversation distance than clean and mineral do, which is why Eros makes our date-night roundup and Sauvage does not rank as highly there.
Winter: Eros by a small margin - sweetness blooms in cold air. Both feature in our winter roundup.
One-bottle collection: Sauvage. It is the more versatile fragrance and it is the safer answer if this is the only cologne you own.
Price and value
Eros is generally the cheaper of the two, sometimes by a meaningful margin, and both are frequently discounted - which is why we quote no numbers in the text and pull live prices instead. On pure value Eros usually wins; on cost-per-useful-occasion Sauvage often does, because you will find more days you can wear it. If neither price appeals, clone-house alternatives to both exist: our Sauvage alternatives page covers the fresh-spicy lane and the dupes roundup covers the sweet one.
The honest tiebreaker
Both are extremely common. If individuality matters to you, neither is a good answer, and you should be looking at the dupes hub or a less mainstream designer instead. If it does not - and for most people buying a first or second bottle it genuinely should not - then pick on temperature. Cool and clean, or warm and sweet. That single question decides this better than any spec comparison.
Full individual write-ups are in our Dior Sauvage review and Versace Eros review, and the cheapest way to settle it properly is to wear both for a day each from a sampler set.