  We improve Bombieri's asymptotic sieve to localise the variables. As a
consequence, we prove, under a Elliott-Halberstam conjecture, that there exists
an infinity of twins almost prime. Those are prime numbers $p$ such that for
all $\varepsilon>0$, $p-2$ is either a prime number or can be written as $p_1
p_2$ where $p_1$ and $p_2$ are prime and $p_1<X^{\varepsilon}$, and we give the
explicit asymptotic.
